Physics 106
- How Things Work - Spring, 1998
Midterm Examination
Given Friday, February 27, from 1:00 PM to 1:50 PM
PART I: MULTIPLE CHOICE QUESTIONS
Please mark the correct answer for each question on the bubble sheet.
Fill in the dot completely with #2 pencil. Part I is worth 67% of the grade
on the midterm examination.
Problem 1:
Electric power passes through a nearby power transformer on its way
to your home. The current that enters your home actually receives its power
when it passes through the secondary coil of that transformer. The coil
has a carefully chosen number of turns in it because doubling the number
of turns would
(A) halve the voltage of the current entering your home.
(B) double the frequency (cycles-per-second) of the alternating current
entering your home.
(C) double the voltage of the current entering your home.
(D) halve the frequency (cycles-per-second) of the alternating current
entering your home.
Answer: (C) double the voltage of the current entering your home.
Why: The current passing through the secondary coil of a transformer
picks up more energy per unit of charge with each trip around the secondary
coil. That's because there is an electric field pushing the charge around
the coil and doing work on that charge. If you let the current pass around
the coil twice as many times, by doubling the number of turns in the coil,
then the current will pick up twice as much energy per unit of charge.
With twice as much energy per charge, the current has twice its original
voltage.
Problem 2:
A basketball player bounces a ball off the floor repeatedly as he dribbles
it down the court. Each time the ball hits the floor, it rebounds almost
to its original height. From that bouncing behavior, you know that during
a collision with the floor,
(A) the ball retains most of its energy but transfers a large amount
of momentum to the floor.
(B) the ball transfers a large amount of energy and momentum to the
floor.
(C) the ball retains most of its momentum but transfers a large amount
of energy to the floor.
(D) the ball retains most of its energy and its momentum.
Answer: (A) the ball retains most of its energy but transfers a
large amount of momentum to the floor.
Why: To return to almost its original height, the ball needs almost
its original energy. That energy went from gravitational potential energy,
to kinetic energy (during the descent), to elastic potential energy (during
the actual bounce), to kinetic energy (during the rebound), to gravitational
potential energy (during the rise). But the ball's momentum changed dramatically
because it started with a downward momentum and ended with an upward momentum.
It gave all its downward momentum to the floor and went even further--it
acquired an upward momentum by transferring still more downward momentum
to the floor.
Problem 3:
The surface of an audio recording tape must
(A) have an electric field around it.
(B) be positively charged.
(C) contain many tiny permanent magnets.
(D) conduct electricity.
Answer: (C) contain many tiny permanent magnets.
Why: The sound information on an audio recording tape is represented
by the magnetization of the tape's surface. This surface consists of countless
tiny particles, each of which is highly magnetic but which can be magnetized
in one of two directions. These recording particles are miniature permanent
magnets.
Problem 4:
A typical bar magnet has an "N" stamped on its north pole end and an
"S" stamped on its south pole end. With the right tools, you might be able
to change this bar magnet in one or more of the following ways: (1) remove
its magnetic poles altogether, (2) reverse its magnetic poles so that it
has a north pole at the end stamped "S" and a south pole at the end stamped
"N", (3) convert its north pole into a south pole so that it has south
poles at both ends. Which of those three options is physically possible?
(A) Only (1) and (2).
(B) None of them is possible.
(C) Only (2) and (3).
(D) All three are possible.
Answer: (A) Only (1) and (2).
Why: While it is possible to demagnetize a permanent magnet, by
randomizing the magnetic orientations of its microscopic magnetic domains,
or remagnetize a permanent magnet backwards, by exposing it to a strong,
reversed magnetic field, you can't get give it a net magnetic pole. Putting
south pole at both ends of the magnet would leave it with a net south magnetic
pole and that's not possible. No free magnetic pole has ever been found
in nature, so north and south poles always appear in equal pairs.
Problem 5:
In which one of the following situations are you doing (positive) work
on a bowling ball?
(A) When you lower it downward at constant velocity from a high shelf
to the floor.
(B) When you hold it motionless above your head.
(C) When you slide it horizontally across the floor at constant velocity.
(D) When you carry it horizontally at constant velocity.
Answer: (C) When you slide it horizontally across the floor at constant
velocity.
Why: The only case in which you do work is the one in which you
exert a force on the ball and the ball moves in the direction of that force.
When the ball is motionless, as in (B) or moving at right angles to the
force you exert on it, as in (C), you do no work. When the ball moves in
the direction opposite to the direction of the force you exert on it, as
in (A), you do negative work on it. But when you slide the ball across
the floor and struggle against the force of sliding friction, you push
the ball in the same direction it moves and thus do (positive) work on
it.
Problem 6:
A xerographic copier uses a special photoconductor surface that allows
light from an original document to control the placement of black powder
on white paper. The photoconductor only conducts electricity when it’s
exposed to light because, in the dark,
(A) the photoconductor contains only negatively charged particles.
(B) the photoconductor contains only positively charged particles.
(C) electrons in the photoconductor completely fill its valence levels
and can’t shift from one level to another in order to transport charge
through the material.
(D) the photoconductor doesn’t contain any electrically charged particles.
Answer: (C) electrons in the photoconductor completely fill its
valence levels and can’t shift from one level to another in order to transport
charge through the material.
Why: The electrons in a semiconductor, like those in an insulator,
are prevented from responding to electric fields because they have no nearby
empty levels into which they can shift. The whole arrangement of electrons
is rigid and immobile because of this constraint.
Problem 7:
The plug of your desk lamp has two flat metal prongs (we are ignoring
any cylindrical ground prong that may also be present). If you were to
break off one of those flat prongs and plug the remaining prong into the
outlet, the current that would then flow through the lamp would be
(A) zero.
(B) twice the current that flowed when both prongs were present and
plugged in.
(C) the same as the current that flowed when both prongs were present
and plugged in.
(D) half the current that flowed when both prongs were present and
plugged in.
Answer: (A) zero.
Why: Without two wires connecting the lamp to the power company,
there is no circuit. Charge flowing out the single remaining wire can't
return to the power company so it accumulates in the lamp and repels further
charge. So little charge flows that the lamp stays dark.
Problem 8:
If you float an aluminum pie plate on the surface of a pond and move
the north pole of a strong magnet in a clockwise circle just above that
plate, the plate will
(A) begin turning counter-clockwise, as though it were being twisted
away from the magnet.
(B) begin turning clockwise, as though it were being dragged along
with the magnet.
(C) remain stationary.
(D) be lifted out of the water and will stick to the strong north pole
above it.
Answer: (B) begin turning clockwise, as though it were being dragged
along with the magnet.
Why: The moving magnet induces electric currents in the aluminum
and these current are magnetic. They repel the moving magnet and the aluminum
disk is pushed in the direction of the moving magnet. In effect, the magnet
drags the disk around in a circle with it as the result of this continued
repulsion.
Problem 9:
You are watching an ice hockey game and a player has just hit the puck
toward her opponents’ goal. The goalie is out of position and the puck
will reach the goal without anyone being able to stop it. Once the puck
has left the player’s stick and is traveling across the ice toward the
goal, it experiences
(A) no horizontal force in the forward direction.
(B) a forward horizontal force that remains constant all the way to
the goal.
(C) a forward horizontal force that diminishes gradually as the puck
approaches the goal.
(D) a forward horizontal force until it reaches the midpoint of its
trip to the goal and then a backward horizontal force for the remainder
of its trip.
Answer: (A) no horizontal force in the forward direction.
Why: The puck continues forward because of its inertia alone. The
only horizontal forces it experiences are slowing forces--sliding friction
and air resistance--and these push it backward to slow it down.
Problem 10:
You are throwing a ball straight up and then catching it as it returns
to your hand. When the ball leaves your hand, its momentum is in the upward
direction but when it returns to your hand, its momentum is in the downward
direction. During its flight above your hand, what happens to the ball’s
initial upward momentum?
(A) The upward momentum is converted into kinetic energy.
(B) The upward momentum is converted into thermal energy.
(C) The upward momentum is converted into gravitational potential energy.
(D) The upward momentum is transferred to the earth.
Answer: (D) The upward momentum is transferred to the earth.
Why: As the ball rises, the earth pulls down on it and it pulls
up on the earth. This pulling gradually transfers the ball's upward momentum
to the earth and the ball's upward velocity diminishes.
Problem 11:
Commercial electric power is sent across country using high voltage
transmission lines. If low voltage transmission lines were used instead,
those low voltage lines would
(A) have to use direct current, which would not operate most equipment
properly.
(B) not be magnetic enough to transform electricity efficiently into
energy.
(C) have to placed closer to the ground, where they would be more hazardous.
(D) have to be made of thicker metal, which would be expensive.
Answer: (D) have to be made of thicker metal, which would be expensive.
Why: To carry the necessary power with lower voltages, the transmission
lines would have to employ larger currents. But power loss in a wire increases
in proportion to the square of the current in that wire. To prevent power
loses from becoming too large, the wires would have become better conductors.
That means they'd have to become much thicker and more expensive. Edison's
power companies floundered because of this problem.
Problem 12:
You stick a piece of adhesive tape on a glass window and then pull the
tape off suddenly. The tape ends up with a negative electric charge. If
you now hold the tape near the window again, the tape will be
(A) attracted by the window because the window will have a positive
charge.
(B) repelled by the window because the window will have a negative
charge.
(C) repelled by the window because the window will have a positive
charge.
(D) attracted by the window because the window will have a negative
charge.
Answer: (A) attracted by the window because the window will have
a positive charge.
Why: Like most objects, the tape and window are nearly electrically
neutral when left alone. But when you remove the tape from the window,
there is a transfer of charge--the tape becomes negatively charged and
the window becomes positively charged. Overall, the pair remains electrically
neutral because they can't create or destroy charge. These two then attract
one another because they are oppositely charged.
Problem 13:
A construction crew is replacing the huge air conditioning unit on the
roof of an office building. They know that if they push the unit off the
roof and let it fall freely, it will have 10 million joules of kinetic
energy by the time it reaches the ground. They choose instead to put the
unit on a cart and let it roll freely down a ramp. The ramp has a 10 to
1 grade, meaning that it goes down 1 meter in height for every 10 meters
you travel along its surface. By the time the air conditioning unit reaches
the ground on this ramp, it will have
(A) zero kinetic energy.
(B) 1 million joules of kinetic energy.
(C) 100 million joules of kinetic energy.
(D) 10 million joules of kinetic energy.
Answer: (D) 10 million joules of kinetic energy.
Why: The energy released in lowering the air conditioning unit to
the ground is 10 million joules. It doesn't matter how you lower that unit,
you'll always release the same amount of energy. So long as the energy
doesn't go somewhere else (e.g. into heating something up or breaking something),
it will all be in the unit when the unit reaches the ground. After the
trip down the ramp, it will be in the unit's kinetic energy. If the crew
had slowed the unit's descent, rather than letting it roll freely, they
would have taking this energy out of the unit and it wouldn't have kept
all its energy. But they let it roll freely and it ended up moving just
as fast as if they had dropped it. Its kinetic energy was the same, but
its direction of travel was somewhat different.
Problem 14:
You are watching children play a game of tug-o-war with an old plastic
clothesline. The two teams are pulling at opposite ends of the cord and
each team is trying to drag the other team into a mud puddle that lies
between them. After a few minutes without progress, the team on the right
suddenly pulls hard toward the right. The team on the left has anticipated
this threat and is able to keep their end of the rope from moving at all.
The right end of the rope stretches toward the right and the rope breaks.
It took energy to breaking the rope and that energy was provided by
(A) the team on the left.
(B) both teams.
(C) neither team. It was instead provided by chemical potential energy
in the rope itself.
(D) the team on the right.
Answer: (D) the team on the right.
Why: Since the team on the left didn't move, they neither did work
nor had work done on them. The team on the right exerted a rightward force
on the rope and the rope end moved right--therefore they did (positive)
work on the rope. It was this work that broke the rope.
Problem 15:
To pay your tuition this semester, you have decided to moonlight as
a race car driver. It’s your first race and you’re heading full speed down
a straight portion of the track. You place a small good luck charm in the
middle of the dashboard and then begin turning the car toward the left.
As you and your car make the left turn, the charm slides toward the right
side of the dashboard. As the charm slides, the car is
(A) accelerating toward the left and the charm is essentially not
accelerating.
(B) accelerating toward the left and the charm is accelerating toward
the right.
(C) essentially not accelerating and the charm is accelerating toward
the right.
(D) accelerating toward the right and the charm is also accelerating
toward the right.
Answer: (A) accelerating toward the left and the charm is essentially
not accelerating.
Why: The car is effectively driving out from under the charm. The
charm continues straight ahead because of its inertia and the car accelerates
leftward and drifts away from it.
Problem 16:
Electricity produced in a generating plant passes through a large step-up
transformer. This step-up transformer produces the high voltages needed
to send electric power long distances across the countryside. Which of
the following is transferred from the transformer’s primary coil to its
secondary coil while the transformer is operating?
(A) Negative electric charges and power.
(B) Positive electric charges, negative electric charges, and power.
(C) Power alone.
(D) Positive electric charges and power.
Answer: (C) Power alone.
Why: The two coils of the transformer are parts of separate circuits
and they do not exchange current or charge. All that moves from one to
the other is power.
Problem 17:
You are playing with a large spring, squeezing it and stretching it.
If you begin with the spring at its normal length, in which case(s) are
you doing work on it?
(A) When you stretch it but not when you squeeze it.
(B) When you squeeze it and when you stretch it.
(C) When you squeeze it but not when you stretch it.
(D) Not when you squeeze or stretch it, but when you release it after
squeezing or stretching it.
Answer: (B) When you squeeze it and when you stretch it.
Why: To squeeze the spring, you push it inward and it moves inward,
so you are doing work on it. To stretch the spring, you pull it outward
and it moves outward, so you again are doing work on it.
Problem 18:
You remove the batteries from a working flashlight, turn both of them
around as a pair, and reinsert them in the flashlight. They make good contact
with the flashlight’s terminals at both ends, so that there is no mechanical
problem preventing the flashlight from working. If you now switch on the
flashlight, it will
(A) not work because only electrons can actually move through a circuit.
The positively charged atomic nuclei are immobile.
(B) work properly, although current will now be flowing backward through
its circuit.
(C) not work because the batteries can’t send current backward through
the flashlight’s circuit.
(D) not work because the light bulb can only carry electric current
in one direction.
Answer: (B) work properly, although current will now be flowing
backward through its circuit.
Why: Reversing the batteries as a pair merely reverses the direction
in which the chain of batteries pumps charge. Current continues to flow
through the circuit but in the opposite direction from before. This current
still derives energy from the batteries and deposits it in the bulb's filament.
The flashlight continues to work just fine.
Problem 19:
You are working in a pizza parlor and have learned how to toss and spin
the dough to form large disks. You find that the larger each disk becomes
as you spin it, the harder it is to stop the disk from spinning. While
a small twist is all it takes to stop a ball of dough from spinning, by
the time that same dough becomes a 16 inch disk a similar twist barely
slows it down. This effect occurs because spreading the dough into a disk
increases its
(A) velocity.
(B) weight.
(C) moment of inertia.
(D) mass.
Answer: (C) moment of inertia.
Why: The dough's rotational inertia, its resistance to changes in
angular velocity and angular momentum, is known as its moment of inertia.
Spreading the dough out farther from the rotational axis increases this
moment of inertia and makes the dough harder to twist or spin.
Problem 20:
An n-channel MOSFET consists of three pieces of semiconductor: two n-type
pieces connected by a p-type piece. This n-channel MOSFET will allow current
to flow through all three pieces when
(A) a north magnetic pole is put on its gate and the middle piece
of semiconductor becomes a south magnetic pole.
(B) a north magnetic pole is put on its gate and the middle piece of
semiconductor becomes a north magnetic pole.
(C) positive charge is put on its gate and the middle piece of semiconductor
effectively becomes n-type.
(D) negative charge is put on its gate and the middle piece of semiconductor
effectively becomes n-type.
Answer: (C) positive charge is put on its gate and the middle piece
of semiconductor effectively becomes n-type.
Why: Putting positive charge on the gate attracts negatively charged
electrons into the middle piece of semiconductor. As these electrons accumulate,
they fill in all the empty valence levels and then begin to settle in some
of the empty conduction levels. This situation, filled valence levels and
some number of filled conduction levels, is characteristic of n-type semiconductor.
The middle piece of semiconductor is now n-type and the p-n junction disappear.
Current can now flow between all three pieces of semiconductor.
Problem 21:
A helicopter is hovering motionless above a disabled boat, while rescue
workers use a rope to lift an injured sailor. While that sailor is being
lifted upward, the net force on the motionless helicopter is
(A) downward and equal to the sailor’s weight.
(B) downward and equal to the sailor’s weight plus the helicopter’s
weight.
(C) upward and equal to the sailor’s weight.
(D) zero.
Answer: (D) zero.
Why: The helicopter remains motionless, so it isn't accelerating.
If it isn't accelerating, the net force on it must be zero.
Problem 22:
Which of the following can cause a stationary charged particle to accelerate?
(A) A stationary, constant electric field.
(B) A stationary wire containing a constant electric current.
(C) A stationary, constant magnetic field.
(D) A stationary, constant north pole.
Answer: (A) A stationary, constant electric field.
Why: A stationary charged particle only experiences a force when
it is in an electric field. A stationary, constant electric field is fine.
The other choices only involve magnetic fields, which exert no forces on
stationary electrically charged particles.
Problem 23:
You have a small DC motor that normally operates on 3 volt direct current,
meaning that if you were to connect it to a 3 volt battery in a circuit,
it would spin nicely. But instead of connecting the motor to a battery,
you connect it to a 3 volt flashlight bulb in a circuit. Any current flowing
through the motor must therefore flow through the bulb and back to the
motor. When you spin the motor’s shaft rapidly with your fingers, the light
bulb lights up. The motor is able to make the bulb light up because spinning
its shaft
(A) causes a permanent magnet to move, producing an electric field
that pushes currents through nearby coils of wire.
(B) reverses the magnetic poles from positive to negative so that charges
are pushed through coils of wire in the motor.
(C) produces angular momentum, which magnetizes the current in the
coils of the motor so that this current flows out of the motor rather than
into it.
(D) releases the 3 volt electric power stored in the motor during its
previous operations and this power illuminates the 3 volt bulb.
Answer: (A) causes a permanent magnet to move, producing an electric
field that pushes currents through nearby coils of wire.
Why: A moving magnetic field creates an electric field and electric
fields push on charges. The mobile charges in the coil of wire thus begin
to move as the permanent magnet most past the coils. The motor is acting
as a generator.
Problem 24:
A semiconductor diode contains a p-n junction. One way to understand
why electric current can only flow through such a diode in one direction
is that
(A) electrons can only move from the north pole of the p-n junction
to the south pole of that junction.
(B) electrons approaching the p-n junction from the p-type end are
repelled by an accumulation of negative charge on the p-type side of the
junction.
(C) electrons are forbidden from travelling through the p-type end
of the p-n junction. Only positively charged particles can move through
p-type semiconductor.
(D) there are no empty valence or conduction levels available to electrons
on the p-type end of the diode’s p-n junction.
Answer: (B) electrons approaching the p-n junction from the p-type
end are repelled by an accumulation of negative charge on the p-type side
of the junction.
Why: When the p-n junction forms, electrons migrate from the n-type
side of the junction to the p-type side of the junction, forming a depletion
region (a region of filled valence levels and empty conduction levels).
These displaced electrons give the p-type side of the junction a negative
charge and the n-type side of the junction a positive charge. Approaching
the negative charge on the p-type side is difficult for an electron, so
it stays away.
Problem 25:
A battery in an operating flashlight
(A) has work done on it when positive charge flows from its negative
terminal to its positive terminal.
(B) does work while transferring positive charge from its positive
terminal to its negative terminal.
(C) does work while transferring positive charge from its negative
terminal to its positive terminal.
(D) has work done on it when positive charge flows from its positive
terminal to its negative terminal.
Answer: (C) does work while transferring positive charge from its
negative terminal to its positive terminal.
Why: Since the battery is the power source for the flashlight, it
must be doing work on the current passing through it. It pushes charge
against that charge's natural direction of flow. It pumps the positive
charge from the negative terminal (where is tends to go) to the positive
terminal (where it tends to leave).
PART II: SHORT ANSWER QUESTIONS
Please give a brief answer in the space provided. Part II is worth 33%
of the grade on the midterm examination.
Problem 1:
You are establishing a new company to manufacture audio recording tape.
You have just ordered clear plastic tape but you still have to buy the
right coating material for that tape.
(A) Your materials catalog lists a number of metals: aluminum, copper,
brass, iron, silver, and gold. Of these metals, which one should you order
for the tape’s coating, and why that metal rather than the others?
Answer: Iron, because it alone has the intrinsic internal magnetic
order that you need to make permanent magnets.
Why: Most metals are essentially non-magnetic at the microscopic
level. Iron has ferromagnetic order, meaning that it is highly magnetic
on the small size scale.
(B) When the metal arrives, you and your staff convert it into tiny
needle-shaped particles. Why can’t you use tiny round particles for the
recording tape?
Answer: Round particles will be magnetically soft--they won't remain
magnetized along any particular direction after you remove the magnetizing
field.
Why: Pure iron is magnetically soft on its own and only becomes
magnetically hard in certain special cases. Fine needles of iron is one
of those special cases.
(C) After the needle-shaped particles have been coated onto the tape,
you erase the tape by passing it near a coil of wire carrying a high-frequency
alternating current. How does this coil erase the tape?
Answer: This coil magnetizes the particles back and forth rapidly,
leaving them randomly magnetized.
Why: A demagnetized tape contains roughly equal number of particles
magnetized one way as the other. This is done by flipping the particles'
magnetizations back and forth rapidly and leaving them randomly in one
of the two possible orientations.
(D) Once one of your customers has recorded audio onto a tape, they
can play the tape by passing it near the playback head of a tape player.
As the tape passes the playback head, currents begin to flow through wires
in that head. How does the moving tape cause currents to flow in the wires?
Answer: The moving magnetic particles on the tape create electric
fields and these electric fields push charges through the wires.
Why: Whenever you have a moving magnet, you have electric fields
that can propel currents through wires.
Problem 2:
You are riding on a huge roller coaster with the tallest, steepest first
hill in the world. To make the roller coaster even more exciting, its designers
have used high technology to eliminate air resistance and friction, so
that the coaster follows the laws of physics without producing any thermal
energy. The first hill can be divided into three parts: top, middle, and
bottom. While the top portion of the first hill slopes gradually downward,
the middle portion of the hill dives almost straight down. The bottom portion
of the hill is less steeply sloped in the downward direction, becoming
more and more gradual so that it eventually levels out completely.
(A) Along which portion of the first hill does the roller coaster
have its greatest speed?
Answer: Along the bottom portion.
Why: There is nothing to extract energy from the roller coaster,
no friction or air resistance, so it retains all of its energy as it plunges
down the hill. It converts its gravitational potential energy into kinetic
energy as it descends and has its highest kinetic energy near the bottom
of the hill. Since kinetic energy is proportional to the square of speed,
the roller coaster's speed is also highest near the bottom of the hill.
(B) Along which portion of the first hill does the roller coaster have
its greatest downward acceleration?
Answer: Along the middle portion.
Why: The downward acceleration of an object on a ramp increases
as the ramp becomes steeper. The middle portion of the track is the steepest,
so it is also the portion during which the roller coaster's downward acceleration
is greatest.
(C) Along which portion of the first hill, if any, does the roller coaster
have its greatest upward acceleration?
Answer: Along the bottom portion.
Why: Along the bottom portion of the track, the roller coaster is
changing its direction of travel. It is turning upward from a downward
plunge to a horizontal motion. This turning of its velocity involves an
upward acceleration. This is the only upward acceleration that occurs on
the first hill--the acceleration is downward along the top and middle portions
of the track.
(D) Compare the roller coaster’s total energy on the top portion of
the track with its total energy on the bottom portion of the track.
Answer: They are equal.
Why: Energy is conserved and the roller coaster has no way of transferring
energy to anything. There is no friction or air resistance, and the track
doesn't move so the roller coaster can't do work on it. All of the energy
the roller coaster had near the top of the hill (mostly in the form of
gravitational potential energy) is still there near the bottom of the hill
(mostly in the form of kinetic energy).
Problem 3:
Modern audio amplifiers usually contain at least four important electronic
components: resistors, capacitors, diodes, and MOSFETs. Let’s take a brief
look at each of these devices.
(A) A resistor behaves like a wire, except that its electric resistance
has been adjusted to a particular value. Like a wire, a resistor wastes
power when current flows through it so that the resistor becomes warm.
If you double the amount of current passing through a particular resistor,
by how much does the power being wasted by that resistor change?
Answer: The power increases by a factor of four (it quadruples).
Why: When double the current passing through a resistor or wire,
the voltage (energy per unit of charge) lost by that current doubles. Since
you are now sending twice as many units of charge through the resistor
or wire each second, and each unit of charge is losing twice as much energy,
the current is losing 2 x 2 or 4 times as much energy per second--four
times as much power.
(B) A capacitor stores energy when it has positive charge on one plate
and negative charge on the other. The voltage difference between those
two plates is equal to the energy that would be released in letting a unit
of positive charge return from the positive plate to the negative plate.
How would this voltage different (read: difference) be affected
if you were to move the two capacitor plates farther apart without changing
their charges?
Answer: The voltage difference would increase.
Why: Voltage difference is a measure of the energy that would be
released by a unit of positive charge that flows from the high voltage
side to the low voltage side. If you take a charged capacitor--one with
positive charge on one plate and negative charge on the other plate--and
pull those plates apart, you do work on the charges. After all, the oppositely
charge plates attract one another and you must push them apart as they
move apart. This work ends up as energy in those separated charges. The
energy that would be released when a unit of positive charge flows from
one plate to the other would increase, so the voltage difference between
the plates also increases.
(C) A diode conducts current only in one direction. Most diodes are
constructed out of two different pieces of modified semiconductor: p-type
and n-type semiconductors. If you assembled a diode out of two pieces of
n-type semiconductor, omitting the p-type semiconductor altogether, would
the new device conduct current and, if so, in which direction(s)?
Answer: Yes, it would conduct current in both directions.
Why: The combined system would be all n-type semiconductor. No p-n
junction would form and there would be no "one-way" character to the system.
Since n-type semiconductor is itself an electric conductor, the system
would conductor electricity in either direction.
(D) An MOSFET makes it possible for a small amount of charge on the
MOSFET’s gate to turn on or off a substantial current flowing through the
rest of the MOSFET. In a typical n-channel MOSFET, a modest positive charge
on the gate will allow current to flow through the MOSFET from the drain
to the source. What will happen if you instead put a modest negative charge
on the gate of this same MOSFET?
Answer: The MOSFET would not allow current to flow.
Why: Putting negative charge on the gate of the MOSFET would push
more negatively charged electrons out of the nearby p-type segment of the
"n-channel MOSFET". That p-type segment, rather than becoming n-type and
forming the "n-channel" that allows current to flow through the MOSFET,
would become still more p-type. The p-n junctions in the device that prevent
current flow through it would simply become stronger and further inhibit
current flow.