Electricity - Multiple Choice

Q1. A battery is connected to a 10 Ω resistor and a switch in series.

A voltmeter is connected across the battery.

When the switch is open (off) the voltmeter reads 1.45 V.

When the switch is closed the reading is 1.26 V.

What is the internal resistance of the battery?

A
0.66Ω
B
0.76 Ω
C
1.3 Ω
D
1.5 Ω

 

Q2. The current in a wire is 20 mA.

How many electrons pass a point in the wire in 2 minutes?

A
2.5 × 1017
B
1.5 × 1019
C
2.5 × 1020
D
1.5 × 1022

 

Q3. A resistor and diode are connected in series with a variable power supply as shown in the diagram.

Which best shows the characteristic for the combination of the resistor and diode?

 

Q4. A cell C of negligible resistance and a switch are in series with a resistor R.

The switch is moved to the on (closed) position for a time t.

Which change reduces the amount of charge flowing through R in time t?

A
Add an identical cell in parallel with C.
B
Add an identical cell in series with C.
C
Add a second resistor in series with R.
D
Add a second resistor in parallel with R.

 

Q5. The National Grid uses high-voltage transmission lines to carry electrical power around the UK.

A particular transmission line delivers 800 MW of power at 132 kV to the user.

It loses 1% of the transmitted power as heat.

What is the resistance of the transmission line?

A
0.2 Ω
B
6 Ω
C
20 Ω
D
2000 Ω

 

Q6. A potential divider circuit consists of a battery connected across a thermistor and variable resistor in series.

Which of the following causes the potential difference (pd) across the thermistor to increase?

A
increasing the temperature of the thermistor
B
increasing the resistance of the variable resistor
C
reducing the emf of the battery
D
adding a resistor across the variable resistor

 

Q7. A student investigates how the potential difference V across the terminals of a cell varies with the current I in the cell.

Which graph correctly shows how V varies with I?

Q8. In the circuit below, the potential difference across the light emitting diode (LED) is 1.8 V when it is emitting light.

The current in the circuit is 20 mA. What is the value of the resistor R?

A
80 Ω
B
90 Ω
C
150 Ω
D
160 Ω

 

Q9. The combined resistance of 'n' identical resistors connected in parallel is Rn.

Which statement correctly describes the variation of Rn as 'n' increases?

A
Rn decreases linearly as 'n' increases
B
Rn decreases non-linearly as 'n' increases
C
Rn increases linearly as 'n' increases
D
Rn increases non-linearly as 'n' increases

 

Q10. The table below shows the resistivity, length and cross-sectional area of wires P and Q.

resistivity
length
cross-sectional area
wire P
ρ
L
A
wire Q
¼ρ
L
½A

The resistance of wire P is R.

What is the total resistance of the wires when they are connected in parallel?

A
R /9
B
R /3
C
2 R/3
D
3 R/2

 

Q11. The circuit shown is used to supply a variable potential difference (pd) to another circuit.

Which graph shows how the pd supplied V varies as the moving contact C is moved from position P to position Q?

 

Q12. In this resistor network, the emf of the supply is 12 V and it has negligible internal resistance.

What is the reading on a voltmeter connected between points X and Y?

A
0 V
B
1 V
C
3 V
D
4 V

 

Q13. Kayjay carries out an experiment to determine the resistivity of a metal wire.

She determines the resistance from measurements of potential difference between the ends of the wire and the corresponding current.

She measures the length of the wire with a ruler, and the diameter of the wire using a micrometer.

Each measurement is made with an uncertainty of 1%

Which measurement gives the largest uncertainty in the calculated value of the resistivity?

A
current
B
diameter
C
length
D
potential difference

 

Q14.The mean power dissipated in a resistor is 47.5 µW when the root mean square (rms) voltage across the resistor is 150 mV.

What is the peak current in the resistor?

A
2.3 × 10−4 A
B
4.5 × 10−4 A
C
2.3 × 103 A
D
4.5 × 103 A

 

Q15. The National Grid is used to transfer electrical energy from power stations to consumers.

What conditions for the transmission voltage and the transmission current give the most efficient transfer of energy through the National Grid?

Transmission voltage
Transmission current
A
High
High
B
High
Low
C
Low
High
D
Low
Low

 

Q16. A mains transformer has a primary coil of 2500 turns and a secondary coil of 130 turns.

The primary coil is connected to a mains supply where Vrms is 230 V.

The secondary coil is connected to a lamp of resistance 6.0 Ω.

The transformer is 100% efficient.

What is the peak power dissipated in the lamp?

A
12 W
B
24 W
C
48 W
D
96 W

 

Q17. Three cells each have an emf ε = 1.5 V and an internal resistance r = 0.6 Ω.

Which combination of these cells will deliver a total emf of 1.5 V and a maximum current of 7.5 A?

Q18. The current in the cell is 10 A as shown in the diagram.

What is the current in the 2.0 Ω resistor?

A
0.35 A
B
2.86 A
C
3.50 A
D
7.14 A

 

Q19. A battery of negligible internal resistance and an emf of 12 V is connected in series with a heating element.

The heating element has a resistance of 6.5 Ω when in operation.

What is the energy transferred by the heating element when operating for 5 minutes?

A
111 J
B
390 J
C
6650 J
D
23 400 J

 

Q20. Which statement about superconductors is correct?

A
When a material becomes a superconductor, its resistivity is almost zero.
B
The temperature at which a material becomes a superconductor is called the critical temperature.
C
When current passes through a superconductor the pd across it becomes a maximum.
D
Copper is a superconductor at room temperature.

 

Q21. A wire has a resistance R.

What is the resistance when both the length and radius of the wire are doubled?

A
¼R
B
½R
C
2R
D
4R