Electrical Circuits PPQs Flashcards

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1
Q

You are to describe the method to determine accurately the resistivity of one of the metal wires
Your description should include:
- the circuit diagram you would use
- the quantities you would measure
- the graph you would plot
- how you would determine the resistivity
[9]

A

Circuit diagram:
- resistor and power supply
- ammeter in series and voltmeter in parallel with resistor

Quantities measured:
- current and potential difference or resistance
- length of wire
- diameter/thickness of wire

Graph:
- graph of RA against l

Resistivity:
- gradient of graph
- a = pi r^2
- correct processing to find p consistent with graph

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2
Q

A student has a sample of wire made of an unknown metal.
In order to identify the metal, she determines its resistivity.
She measures the diameter of the wire using a micrometer screw gauge
Explain why the micrometer screw gauge is an appropriate instrument for this measurement [2]

A

Resolution is 0.01/0.001 mm
Therefore percentage uncertainty is 2/0.2% which is small

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3
Q

A student has a sample of wire made of an unknown metal.
In order to identify the metal, she determines its resistivity.
She measures the diameter of the wire using a micrometer screw gauge
Describe two techniques she should use to make this measurement as accurate as possible [2]

A
  • measure diameter at varying lengths and find mean
  • check for zero error OR avoid squishing wire
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4
Q

A student is asked to determine the resistance of a wire
Discuss the advantages and disadvantages of each method of measuring resistance:
Using a digital multimeter, using an analogue ammeter with an analogue voltmeter

A
  • multimeter is easier because it is only one reading
  • multimeter is cheaper because it is only one piece of equipment
  • multimeter scale is variable whereas analogue is fixed
  • analogue requires both series + parallel when setting up
  • analogue: heating might change current in wire
  • analogue: uncertainties are greater because more readings taken
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5
Q

A student investigated how the current through a diode varies with the p.d. Across it.

Diagram
———-||-||
——A——B———
Bulb— diode—- voltmeter
Voltmeter can slide between A and B

Although the components were not faulty, when the slider was moved from A to B and the voltmeter changed from 0V to 3V, the lamp did not light.
Explain this observation [3]

A
  • the voltmeter has a large/infinite resistance
  • so p.d. Across diode is too small
  • hence the diode doesn’t conduct so there is no current in the lamp
    OR
  • the voltmeter has a large/infinite resistance
  • so there is negligible current through voltmeter
  • hence as the bulb is in series with the voltmeter, the current will be too small for the lamp to light.
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6
Q

A student investigated how the current through a diode varies with the p.d. Across it.

Diagram
———-||-||
——A——B———
Bulb— diode—- voltmeter
Voltmeter can slide between A and B

Although the components were not faulty, when the slider was moved from A to B and the voltmeter changed from 0V to 3V, the lamp did not light.

State how the circuit should be modifies so the lamp will light [1]

A

Place voltmeter in parallel with diode
Or remove voltmeter

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7
Q

Explain the variation of resistance with potential for the filament bulb in terms of particle behaviour [6]

A
  • as V increases, acceleration/energy of electrons increases
  • greater energy transfer in collisions with lattice/ions
  • increasing the temperature of metal/filament/ions
  • amplitude of vibrations of lattice/ions increases
  • collision rate between lattice/ions and electrons increases
  • due to the increase in resistance, current doesn’t increase in proportion to potential difference
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8
Q

A student carries out a series of measurements to determine how the resistance of a wire varies with its length.
One precaution taken by the student was to keep the current small.
Explain why this precaution was necessary [2]

A
  • temperature increases with increasing current
  • resistance would’ve increases with temp
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9
Q

A student carries out a series of measurements to determine how the resistance of a wire varies with its length.
Explain a precaution which should be taken by the student to ensure the accuracy of the results in the table
[2]

A
  • avoid parallax error
  • by reading perpendicular to ruler.
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10
Q

A conductor has a resistance R. A constant potential difference is applied across the conductor. The drift velocity of the charge carriers in the conductor is v.
What is the relationship between R and v?

A

v (fish symbol) 1/R

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11
Q

State what is meant by drift velocity when applied to a metal conductor [1]

A

Mean velocity of charge carriers

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12
Q

Two conductors of the same material and length carry the same current. Current X has twice the cross-sectional area of conductor Y

By referring to an appropriate equation, compare the drift velocities [2]

A

v for Y is twice v for X
I=nqvA . n and q are constants

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13
Q

Two conductors of the same material and length carry the same current. Current X has twice the cross-sectional area of conductor Y
Explain the difference in resistance of X and Y in terms of the difference in drift velocity [3]

A

Resistance in Y is higher bc v is higher
Electrons gain more KE between collisions
More frequent collisions
More energy lost per collision
Greater pd required for a given current

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14
Q

When tidying a prep room, a teacher discovers a tray of resistance wires that have lost their labels. SHe decides to ask her students to carry out experiments to determine the material that each wire is made of by measuring the resistivity of the wires

Explain why the teacher asks the students to measure the resistivity and not the resistance of the wires [2]

A

Resistivity - constant, different materials have a fixed resistivity
Resistance is a property of wire

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15
Q

You are to describe a method to determine accurately the resistivity of a metal wire
Your description should include
Circuit diagram
Quantities u wld measure
Graph u wld plot
How u wld determine resistivity
[6]

A

Wire and power supply
Ammeter in series with voltmeter in parallel w resistor
Current and pd
Length of wire
Diameter of wire
Graph: RA against L
Gradient is resistivity
A = pi r squared

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16
Q

A student carries out a series of measurements to determine how the resistance of a wire varies with its length
One precaution taken by the student was to keep the current small
Why was this necessary [2]

A

Temp increases with increasing current
R increases

17
Q

A student carries out a series of measurements to determine how the resistance of a wire varies with its length
One precaution taken by the student was to keep the current small
Explain one other precaution which should be taken by the student to ensure the accuracy of the results [2]

A

Avoid pressing too hard on wire - cross sectional area can be affected
- tight croc clips, doesnt make V accurate

18
Q

A torch uses a 1.5V dry cell. Over time, the light intensity produced by the torch decreases as the cell ‘goes flat’
A student sets up a circuit in an attempt to measure the emf of a cell

[voltmeter in parallel with bulb]

Explain why the voltmeter reading will not be the emf of the cell [2]

A
  • due to the internal resistance of the cell
  • there is p.d. Across the internal resistance of the cell
    V = e - Ir
19
Q

Explain the variation of resistance with p.d. For the filament bulb in terms of particle behaviour

A

As V increases, energy of electrons increase
Greater energy transfer in collisions with lattice
Increasing the temperature of ions
Amplitude of vibrations of ions increases
Collision rate between ions and electrons increases
Due to increase in resistance, I doesnt increase in proportion to p.d.

20
Q

In an emf equation
The copper wires between the battery and the motor have a diameter of one cm. Explain why such a thick wire is needed [3]

A

To prevent wire heating up
Resistance of cable low
Cross-sectional area large

21
Q

A piece of conducting putty is shaped into a cylinder of uniform cross-sectional area. The length of the cylinder is l. The resistance between the two ends is 8.0 ohms.
The piece of putty is then rolled out until the length is 2l.
What is the new value of the resistance between the two ends [1]

A

32.0 ohms

22
Q

A student investigates how the resistance of a length of nichrome wire changes with temperature.
The wire has a thin electrically insulating coating so that it can be coiled up without causing a short circuit.
The student places the coil of the wire into a water bath so the temperature of the wire can be varied.
Describe how the student could determine the temperature of the wire accurately [2]

A

Use a thermometer to measure the temperature
Put the thermometer next to the wire
Stir the water

23
Q

A student investigates how the resistance of a length of nichrome wire changes with temperature.
Explain, in terms of particle behaviour, why the resistance of the nichrome wire changes as temperature increases [4]

A
  • kinetic energy of ions increases
  • frequency of collisions between electrons and ions increases
  • drift velocity of electrons decreases, so current decreases
  • therefore resistance of nichrome wire increases
24
Q

A student connects a filament bulb to a battery. The battery has internal resistance. The student connects an identical bulb in parallel with the first bulb.
He continues to connect identical bulbs in parallel.
The student observes that the bulbs get dimmer as more bulbs are connected. He also observes that the temperature of the battery increases.
Explain these observations [6]

A
  • total resistance of circuit decreases when more wires are added because there are more paths for current
  • current in battery increases
  • p.d. across internal resistance increases
  • terminal p.d. of battery decreases and bulbs get dimmer
  • more energy transferred in battery
  • thermal energy increases in battery
25
Q

When a semiconductor has its temperature increased form room temperature, its resistance usually decreases because
A the electrons are moving faster
B the lattice atoms vibrate with greater amplitude
C the lattice atoms vibrate with smaller amplitude
D the number of charge carriers per unit volume increases

A

D

26
Q

Two wires of the same material are connected in series wire X and wire Y
The cross sectional area of wire X is twice the cross-sectional area of wire Y.
The drift velocities of the electrons in these two wires are Vx and Vy
The value of Vx/Vy is
A 1/2
B 1
C 2
D 4

A

A

27
Q

The drift velocity v of electrons in a conductor is directly proportional to
A electron charge
B charge carrier density
C cross sectional area
D current

A

D

28
Q

When food is cooked in a microwave oven, microwave radiation is absorbed by water molecules, increasing the internal energy of the food.
A student heats water in a microwave over for one minute to determine the efficiency of the oven at transferring energy to the water. The current in the microwave oven is 5.0A and the p.d. Is 230V. The increase in internal energy of the water is 29000J
Calculate the efficiency of the microwave oven at heating the water. [4]

A

E = IVt
5x230x60 = 69000
29000/69000 = 42%

29
Q

Two lamps A and B are connected in series with a battery.
Lamp B glows more brightly than lamp A. Complete each of the sentences by choosing one of the phrases in the box.
[ equal to. Greater than. Less than ]

The current in lamp A is ………… the current in lamp B
The p.d. Across lamp A is ………. The p.d. Across lamp B
The resistance of lamp A is ……… the resistance of lamp B

A

Equal
Less
Less

30
Q

Two lamps A and B are connected in series with a battery.
Lamp B glows more brightly than lamp A.
The same bulbs are now connected in parallel with the battery.
State which bulb will be brighter and explain your answer [3]

A
  • resistors in parallel have the same p.d.
  • P = V^2/R, P=VI and Ia is bigger than Ib
    Pa is bigger than Pb
31
Q

Describe and explain the change in the resistance of the bulb as the potential difference across it is increased. [4]

A
  • resistance increases
  • bc temp increases
  • increasing amplitude of the oscillation of the lattice ions
  • leading to more frequent collisions of electrons with lattice ions.
32
Q

Show how the Ohm is derived

A

VA^-1

33
Q

A constant current maintained in a copper wire causes the temperature of the wire to increase. Which of the following does NOT increase?
A amplitude of vibration of the lattice ions
B number of conduction electrons per unit volume
C rate of collision of conduction electrons with lattice ions
D rate of energy transfer from conduction electrons to lattice ions

A

B