Electric Circuits
Chapter 22 MCQs
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
1
A lamp has a potential difference of 12 V across it and a current of 0.50 A through it.
What is the electrical power transferred by the lamp?
A 0.042 W
B 6.0 W
C 12.5 W
D 24 W
2
A heater has power 2.0 kW. It is used for 15 minutes.
How much energy is transferred?
A 0.030 kWh
B 0.50 kWh
C 7.5 kWh
D 30 kWh
3
A 1.5 kW kettle is used for 4.0 minutes.
How much energy is transferred in joules?
A 360 J
B 6000 J
C 90 000 J
D 360 000 J
4
A device transfers 18 000 J of energy in 2.0 minutes.
What is its power?
A 90 W
B 150 W
C 9000 W
D 36 000 W
5
An electric motor has input power 500 W and useful output power 350 W.
What is its efficiency?
A 30%
B 70%
C 85%
D 143%
6
A device is 40% efficient and has useful output power 120 W.
What is its input power?
A 48 W
B 80 W
C 300 W
D 480 W
7
A 60 W lamp is connected to a 12 V supply.
What current flows through the lamp?
A 0.20 A
B 5.0 A
C 48 A
D 720 A
8
A heater is connected to a 230 V supply and takes a current of 8.0 A.
What is its power?
A 28.8 W
B 238 W
C 1840 W
D 29 000 W
9
A resistor of resistance 20 Ω has a current of 3.0 A through it.
What is the power transferred in the resistor?
A 15 W
B 60 W
C 180 W
D 1200 W
10
A 10 Ω resistor is connected to a 20 V supply.
What is the power transferred in the resistor?
A 2.0 W
B 20 W
C 40 W
D 400 W
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
11
A component has resistance 5.0 Ω and transfers power at a rate of 45 W.
What is the current through the component?
A 3.0 A
B 9.0 A
C 40 A
D 225 A
12
A resistor transfers power of 80 W when connected to a 40 V supply.
What is its resistance?
A 0.50 Ω
B 20 Ω
C 40 Ω
D 800 Ω
13
A 12 V battery supplies a current of 2.5 A for 4.0 minutes.
How much energy is transferred by the battery?
A 30 J
B 120 J
C 7200 J
D 28 800 J
14
An appliance transfers 0.75 kWh of energy. Electricity costs Rs 64 per kWh.
What is the cost of using the appliance?
A Rs 16
B Rs 48
C Rs 64
D Rs 85
15
A 2.4 kW electric iron is used for 25 minutes. Electricity costs Rs 72 per kWh.
What is the cost?
A Rs 28.80
B Rs 43.20
C Rs 72.00
D Rs 172.80
16
A 100 W lamp is used for 8.0 hours each day.
How much energy does it transfer in 5.0 days?
A 0.40 kWh
B 4.0 kWh
C 40 kWh
D 400 kWh
17
A 1500 W heater is used for 2.0 hours. A 60 W lamp is used for 10 hours.
Which statement is correct?
A heater transfers less energy than the lamp
B heater transfers the same energy as the lamp
C heater transfers 5 times as much energy as the lamp
D heater transfers 50 times as much energy as the lamp
18
A device has power rating 900 W when connected to 230 V.
What current does it normally take?
A 0.26 A
B 3.9 A
C 4.7 A
D 207 000 A
19
A 230 V appliance has a normal operating current of 4.5 A.
Which fuse rating is most suitable?
A 1 A
B 3 A
C 5 A
D 13 A
20
An appliance normally takes a current of 9.2 A.
Which fuse rating is most suitable?
A 3 A
B 5 A
C 10 A
D 30 A
21
A fuse is placed in the live wire of an appliance.
Why?
A so it melts and disconnects the appliance if the current becomes too large
B so it makes the neutral wire dangerous
C so it increases the appliance power
D so it stops current flowing during normal operation
22
Why should a switch be placed in the live wire rather than the neutral wire?
A switching the live wire disconnects the appliance from the high potential supply
B the neutral wire always has no current
C the live wire has no potential difference
D the switch works only with alternating current
23
An appliance has a metal case. A fault causes the live wire to touch the case.
What is the purpose of the earth wire?
A to make the case positive
B to provide a low-resistance path for a large current so the fuse blows
C to reduce the resistance of the heating element
D to keep the appliance working normally during the fault
24
A metal-cased appliance is connected without an earth wire. The live wire touches the case.
What is the main danger?
A the case may become live and give an electric shock
B the appliance becomes double insulated automatically
C the fuse always blows instantly even without current flow
D the neutral wire becomes disconnected from Earth
25
An appliance is double insulated.
Which statement is correct?
A it must have an earth wire
B it has two layers of insulation and does not need an earth wire
C it has two fuses connected in parallel
D it works only on direct current
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
26
Which wire in a three-pin plug is normally at high potential relative to Earth?
A live
B neutral
C earth
D fuse wire
27
Which wire is usually connected to the metal case of an appliance for safety?
A live
B neutral
C earth
D filament
28
Which row correctly gives the usual wire colours in modern mains wiring?
| live | neutral | earth | |
|---|---|---|---|
| A | brown | blue | green/yellow |
| B | blue | brown | green/yellow |
| C | green/yellow | brown | blue |
| D | brown | green/yellow | blue |
29
A student touches the live wire while standing barefoot on a wet floor.
Why is this dangerous?
A the body provides a path for current to Earth
B wet skin has infinite resistance
C current flows only if the neutral wire is touched too
D the live wire is always at 0 V
30
Why are bathroom electrical fittings designed with extra care?
A water lowers body resistance and increases shock risk
B water makes the mains voltage become zero
C water prevents current from flowing
D water turns alternating current into direct current
31
A circuit breaker is used instead of a fuse.
Which advantage can a circuit breaker have?
A it can be reset after it trips
B it melts permanently every time
C it increases the normal current
D it removes the need for insulation
32
A residual current circuit breaker compares current in the live wire and neutral wire.
What does it detect?
A current leaking to Earth
B the colour of the wire insulation
C the resistance of the appliance only
D whether the appliance is hot
33
The current in the live wire is 6.0 A and the current in the neutral wire is 5.7 A.
Why might a residual current device trip?
A 0.3 A may be leaking through another path, possibly to Earth
B the live wire has no current
C the neutral current is larger than live current
D the appliance is using no power
34
Why is a fuse rating chosen slightly above the normal operating current?
A so it does not melt during normal operation but melts during excessive current
B so it always melts as soon as the appliance is switched on
C so it makes the appliance use less energy
D so it reduces the mains voltage
35
An appliance has power 700 W and is connected to 230 V mains.
Which fuse should be chosen?
A 1 A
B 3 A
C 5 A
D 13 A
36
A 230 V appliance is fitted with a 13 A fuse.
What is the maximum power it can take before the fuse is likely to blow?
A 17.7 W
B 230 W
C 2990 W
D 29 900 W
37
A 2.0 kW heater is connected to a 230 V supply.
Which fuse is most suitable?
A 1 A
B 3 A
C 5 A
D 10 A
38
A 230 V appliance has resistance 46 Ω when operating normally.
What fuse rating is most suitable?
A 1 A
B 3 A
C 5 A
D 13 A
39
A short circuit occurs in an appliance.
What is meant by a short circuit?
A a low-resistance path allows a very large current to flow
B the appliance uses too little current
C current stops because resistance becomes infinite
D the live wire changes into the earth wire
40
A fuse wire melts when current is too large because:
A electrical energy heats the wire by the current’s heating effect
B the fuse wire is cooled by the live wire
C the fuse wire loses all its charge
D the neutral wire pulls it apart magnetically
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
41
A mains supply is labelled 230 V, 50 Hz.
What does 50 Hz mean?
A current changes direction 50 times every minute
B current completes 50 cycles every second
C voltage is always exactly +50 V
D resistance of the supply is 50 Ω
42
A mains alternating voltage has frequency 50 Hz.
What is its period?
A 0.0020 s
B 0.020 s
C 0.20 s
D 50 s
43
Which statement about alternating current is correct?
A it flows in one direction only
B it repeatedly reverses direction
C it has zero energy transfer
D it can only flow through insulators
44
Which statement about direct current is correct?
A it repeatedly reverses direction
B it flows in one direction only
C it exists only in mains sockets
D it has no charge movement
45
A cell supplies direct current, but mains electricity is alternating current.
Which graph best represents mains potential difference against time?
A horizontal straight line above zero
B sine-like graph alternating positive and negative
C straight line through origin with constant positive gradient
D horizontal straight line at zero
46
A 230 V mains supply is described as an r.m.s. value.
What does this mean for a heater connected to the supply?
A it has the same heating effect as 230 V direct current
B its peak voltage is exactly 230 V
C its voltage never changes
D it transfers no energy because it alternates
47
A 60 W lamp and a 100 W lamp are both connected correctly to the same 230 V mains supply.
Which lamp has the smaller resistance when operating?
A 60 W lamp
B 100 W lamp
C both have equal resistance
D cannot be determined because voltage is the same
48
A 100 W lamp is connected to a 230 V supply.
What is its operating resistance?
A 0.43 Ω
B 2.3 Ω
C 529 Ω
D 52 900 Ω
49
A 60 W lamp is used for 30 minutes. Electricity costs Rs 80 per kWh.
What is the cost?
A Rs 0.24
B Rs 2.40
C Rs 24
D Rs 240
50
A student says, “A fuse protects the user by stopping them from touching live parts.”
Which correction is best?
A a fuse protects mainly against excessive current; insulation and earthing help protect the user from live parts
B a fuse prevents all electric shocks in every situation
C a fuse only works in the neutral wire
D a fuse reduces the mains voltage to a safe value
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
Chapter 22 Answer Key
| Q | Ans | Q | Ans | Q | Ans | Q | Ans | Q | Ans |
|---|---|---|---|---|---|---|---|---|---|
| 1 | B | 11 | A | 21 | A | 31 | A | 41 | B |
| 2 | B | 12 | B | 22 | A | 32 | A | 42 | B |
| 3 | D | 13 | C | 23 | B | 33 | A | 43 | B |
| 4 | B | 14 | B | 24 | A | 34 | A | 44 | B |
| 5 | B | 15 | C | 25 | B | 35 | C | 45 | B |
| 6 | C | 16 | B | 26 | A | 36 | C | 46 | A |
| 7 | B | 17 | C | 27 | C | 37 | D | 47 | B |
| 8 | C | 18 | B | 28 | A | 38 | C | 48 | C |
| 9 | C | 19 | C | 29 | A | 39 | A | 49 | B |
| 10 | C | 20 | C | 30 | A | 40 | A | 50 | A |
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
Detailed Explanations
1. B
-
Power = voltage × current
-
P = VI
-
P = 12 × 0.50
-
P = 6.0 W
2. B
-
Energy in kWh = power in kW × time in hours
-
Time = 15 minutes = 15/60 h = 0.25 h
-
Energy = 2.0 × 0.25
-
Energy = 0.50 kWh
3. D
-
Power = 1.5 kW = 1500 W
-
Time = 4.0 minutes = 240 s
-
Energy = power × time
-
E = 1500 × 240
-
E = 360 000 J
4. B
-
Power = energy / time
-
Time = 2.0 minutes = 120 s
-
P = 18 000 / 120
-
P = 150 W
5. B
-
Efficiency = useful output power / input power × 100
-
Efficiency = 350 / 500 × 100
-
Efficiency = 70%
6. C
-
Efficiency = useful output power / input power
-
0.40 = 120 / input power
-
Input power = 120 / 0.40
-
Input power = 300 W
7. B
-
Power = voltage × current
-
I = P / V
-
I = 60 / 12
-
I = 5.0 A
8. C
-
Power = voltage × current
-
P = 230 × 8.0
-
P = 1840 W
9. C
-
Power in a resistor:
-
P = I²R
-
-
P = 3.0² × 20
-
P = 9 × 20
-
P = 180 W
10. C
-
Power:
-
P = V² / R
-
-
P = 20² / 10
-
P = 400 / 10
-
P = 40 W
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
11. A
-
Power:
-
P = I²R
-
-
45 = I² × 5.0
-
I² = 45 / 5.0 = 9
-
I = 3.0 A
12. B
-
Power:
-
P = V² / R
-
-
Rearrange:
-
R = V² / P
-
-
R = 40² / 80
-
R = 1600 / 80
-
R = 20 Ω
13. C
-
Energy = voltage × current × time
-
Time = 4.0 minutes = 240 s
-
E = VIt
-
E = 12 × 2.5 × 240
-
E = 7200 J
14. B
-
Cost = energy used × cost per kWh
-
Cost = 0.75 × 64
-
Cost = Rs 48
15. C
-
Energy in kWh = power in kW × time in hours
-
Time = 25 minutes = 25/60 h
-
Energy = 2.4 × 25/60
-
Energy = 1.0 kWh
-
Cost = 1.0 × 72
-
Cost = Rs 72.00
16. B
-
Lamp power = 100 W = 0.100 kW
-
Total time = 8.0 h/day × 5.0 days = 40 h
-
Energy = 0.100 × 40
-
Energy = 4.0 kWh
17. C
-
Heater:
-
energy = 1.5 kW × 2.0 h = 3.0 kWh
-
-
Lamp:
-
energy = 0.060 kW × 10 h = 0.60 kWh
-
-
Ratio = 3.0 / 0.60 = 5
-
Heater transfers 5 times as much energy.
18. B
-
Current = power / voltage
-
I = 900 / 230
-
I = 3.91 A
-
Closest answer = 3.9 A
19. C
-
Normal current = 4.5 A
-
Fuse should be slightly above normal operating current.
-
5 A is the most suitable.
-
3 A would blow during normal use.
-
13 A is unnecessarily high.
20. C
-
Normal current = 9.2 A
-
Fuse should be just above normal current.
-
10 A is most suitable.
-
5 A would blow during normal use.
-
30 A is too high for protection.
21. A
-
A fuse is placed in the live wire.
-
If current becomes too large, the fuse wire melts.
-
This breaks the circuit and disconnects the appliance from the live supply.
22. A
-
The switch should be in the live wire.
-
When switched off, the appliance is disconnected from the high-potential live supply.
-
If the switch were in the neutral wire, parts of the appliance could still remain live.
23. B
-
If the live wire touches the metal case, the case could become live.
-
The earth wire provides a low-resistance path to Earth.
-
A large current flows through the earth wire.
-
This blows the fuse and disconnects the appliance.
24. A
-
Without an earth wire, a live metal case may remain dangerous.
-
A person touching the case could provide a path to Earth.
-
This can cause an electric shock.
25. B
-
A double-insulated appliance has two layers of insulation.
-
The user cannot touch live metal parts.
-
It does not need an earth wire.
-
These appliances often have plastic cases.
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
26. A
-
The live wire is normally at high potential relative to Earth.
-
In many mains systems, it is around 230 V r.m.s. relative to Earth/neutral.
-
This is why the live wire is dangerous.
27. C
-
The earth wire is connected to the metal case of an appliance.
-
It provides a safe path for fault current.
-
This helps make the fuse blow if the case becomes live.
28. A
-
Modern mains wire colours:
-
live = brown
-
neutral = blue
-
earth = green/yellow
-
29. A
-
Wet skin has lower resistance than dry skin.
-
Standing barefoot on a wet floor gives current a path through the body to Earth.
-
This is extremely dangerous.
30. A
-
Water lowers the body’s resistance.
-
Lower resistance means larger current for the same voltage.
-
This increases the risk of electric shock in bathrooms.
31. A
-
A circuit breaker can trip when current is too large.
-
Unlike a fuse, many circuit breakers can be reset.
-
A fuse must usually be replaced after it melts.
32. A
-
A residual current device compares current in live and neutral wires.
-
If some current leaks to Earth, live and neutral currents are not equal.
-
The device trips quickly.
33. A
-
Live current = 6.0 A
-
Neutral current = 5.7 A
-
Difference = 0.3 A
-
This suggests 0.3 A may be leaking through another path, possibly to Earth.
-
An RCD may trip.
34. A
-
Fuse rating should be slightly above normal operating current.
-
It should not melt during normal use.
-
It should melt when current becomes dangerously large.
35. C
-
Current = power / voltage
-
I = 700 / 230
-
I ≈ 3.0 A
-
A 3 A fuse is too close to the normal current.
-
A 5 A fuse is most suitable.
36. C
-
Maximum power before a 13 A fuse is likely to blow:
-
P = VI
-
P = 230 × 13
-
P = 2990 W
-
37. D
-
Power = 2.0 kW = 2000 W
-
Current = P / V
-
I = 2000 / 230
-
I ≈ 8.7 A
-
The most suitable fuse is 10 A.
38. C
-
Current = voltage / resistance
-
I = 230 / 46
-
I = 5.0 A
-
The most suitable listed fuse is 5 A.
39. A
-
A short circuit is a low-resistance path.
-
It allows a very large current to flow.
-
This can overheat wires and cause fire if protection fails.
40. A
-
A fuse wire has resistance.
-
When current is too large, electrical heating becomes large.
-
The wire melts and breaks the circuit.
-
Heating effect:
-
P = I²R
-
-
Large current is the menace here.
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
41. B
-
Frequency = number of cycles per second.
-
50 Hz means the alternating voltage/current completes 50 cycles every second.
42. B
-
Period = 1 / frequency
-
T = 1 / 50
-
T = 0.020 s
43. B
-
Alternating current repeatedly reverses direction.
-
Mains electricity is alternating current.
-
It can still transfer energy even though the direction changes.
44. B
-
Direct current flows in one direction only.
-
Cells and batteries usually provide direct current.
45. B
-
Mains potential difference alternates.
-
A graph of mains voltage against time is sine-like.
-
It goes positive and negative repeatedly.
46. A
-
230 V r.m.s. means the alternating supply has the same heating effect as 230 V direct current.
-
The peak voltage is higher than 230 V.
-
This is a classic r.m.s. trap.
47. B
-
For appliances on the same voltage:
-
P = V² / R
-
-
Larger power means smaller resistance.
-
Therefore the 100 W lamp has smaller operating resistance than the 60 W lamp.
48. C
-
Power:
-
P = V² / R
-
-
Rearrange:
-
R = V² / P
-
-
R = 230² / 100
-
R = 52 900 / 100
-
R = 529 Ω
49. B
-
Power = 60 W = 0.060 kW
-
Time = 30 minutes = 0.50 h
-
Energy = 0.060 × 0.50
-
Energy = 0.030 kWh
-
Cost = 0.030 × 80
-
Cost = Rs 2.40
50. A
-
A fuse mainly protects against excessive current.
-
It melts and disconnects the circuit when current is too large.
-
Insulation helps stop users touching live parts.
-
Earthing helps protect users if a metal case becomes live.
For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.
Common Traps From This Chapter
| Trap | Correct Rule |
|---|---|
| Electrical power | P = VI |
| Resistor power | P = I²R or P = V²/R |
| Energy in joules | E = Pt |
| Energy in kWh | kW × hours |
| Cost | kWh × cost per kWh |
| Efficiency | useful output / total input × 100 |
| Fuse rating | slightly above normal current |
| Fuse wire | placed in live wire |
| Switch | placed in live wire |
| Earth wire | connected to metal case |
| Live fault to case | earth wire causes large current, fuse blows |
| Double insulation | no earth wire needed |
| Modern wire colours | live brown, neutral blue, earth green/yellow |
| Wet skin/floor | lower resistance, higher shock risk |
| Circuit breaker | can be reset |
| RCD/RCCB | detects live-neutral current difference |
| Short circuit | low resistance path, very large current |
| AC | repeatedly reverses direction |
| DC | one direction only |
| 50 Hz | 50 cycles per second |
| Period of 50 Hz | 0.020 s |
| r.m.s. voltage | same heating effect as DC value |
| Higher power at same voltage | lower resistance |
| Fuse limitation | does not prevent all shocks |
