QCAA Physics Alternative Sequence Electrical circuits

10 sample questions with marking guides and sample answers

Q2
2020
QCAA
Paper 1
1 mark
Q2
1 mark

An ammeter records a current of 3 A passing through a point in a circuit for 3 minutes. How much charge has passed this point in the time indicated?

A

4.8×10194.8 \times 10^{-19} C

B

1.7×1021.7 \times 10^{-2} C

C

9.0×1009.0 \times 10^0 C

D

5.4×1025.4 \times 10^2 C

Reveal Answer
A

4.8×10194.8 \times 10^{-19} C

This value represents the charge of three elementary charges (like protons or electrons), not the total macroscopic charge calculated using the formula Q=I×tQ = I \times t.

B

1.7×1021.7 \times 10^{-2} C

This incorrect answer comes from dividing the current by the time in seconds (3/1803 / 180), rather than multiplying them.

C

9.0×1009.0 \times 10^0 C

This results from multiplying the current by the time in minutes (3×3=93 \times 3 = 9), forgetting the crucial step of converting time to standard SI units (seconds).

D

5.4×1025.4 \times 10^2 C

Correct Answer

Charge is calculated as current multiplied by time in seconds (Q=I×tQ = I \times t). Multiplying 3 A by 180 seconds gives 540 C, which is 5.4×1025.4 \times 10^2 C in scientific notation.

Q7
2021
VCAA
7 marks
Q7

The generator of an electrical power plant delivers 500 MW500 \text{ MW} to external transmission lines when operating at 25 kV25 \text{ kV}. The generator's voltage is stepped up to 500 kV500 \text{ kV} for transmission and stepped down to 240 V240 \text{ V} 100 km100 \text{ km} away (for domestic use). The overhead transmission lines have a total resistance of 30.0 Ω30.0 \text{ } \Omega. Assume that all transformers are ideal.

Q7a
2 marks

Explain why the voltage is stepped up for transmission along the overhead transmission lines.

Reveal Answer

Students were required to identify that stepping up the voltage allowed the current to be reduced while maintaining constant power. The reason for reducing the current is that the power lost is related to the transmission current by: P=I2RP = I^2R.

Marking Criteria
DescriptorMarks

Identifies that stepping up the voltage allows the current to be reduced while maintaining constant power

1

Relates the reduced current to a reduction in power lost during transmission (P=I2RP = I^2R)

1
Q7b
2 marks

Calculate the current in the overhead transmission lines. Show your working.

Reveal Answer

P=VIP = VI
I=500×106500×103I = \frac{500 \times 10^6}{500 \times 10^3}
I=1000 A or 1.0 kAI = 1000 \text{ A or } 1.0 \text{ kA}

Marking Criteria
DescriptorMarks

Correct substitution into P=VIP = VI

1

Correct final answer of 1000 A1000 \text{ A} or 1.0 kA1.0 \text{ kA}

1
Q7c
3 marks

Determine the maximum power available for domestic use at 240 V240 \text{ V}. Show all your working.

Reveal Answer

This solution has two steps. The first is to calculate the power lost:
P=I2RP = I^2R
P=10002×30P = 1000^2 \times 30
P=30×106 W (30 MW)P = 30 \times 10^6 \text{ W (30 MW)}
This was then subtracted from the power delivered by the generator:
Pavail=500×10630×106P_{avail} = 500 \times 10^6 - 30 \times 10^6
Pavail=470 MWP_{avail} = 470 \text{ MW}

Marking Criteria
DescriptorMarks

Calculates the power lost in the lines (30 MW30 \text{ MW})

1

Subtracts the power lost from the total power delivered by the generator

1

Calculates the correct available power (470 MW470 \text{ MW})

1
Q24
2020
QCAA
Paper 1
3 marks
Q24
3 marks

A direct current of 5.5 A5.5\text{ A} is flowing through a circuit. Calculate the number of electrons that have flowed past the positive terminal of the battery in 4.0 seconds4.0\text{ seconds} (to 2 significant figures).

Reveal Answer

I=qtq=I×tq=5.5×4q=22 C\begin{align*} I &= \frac{q}{t}\\ q &= I \times t\\ q &= 5.5 \times 4\\ q &= 22 \text{ C} \end{align*}

Then we have:

number of electrons=qcharge of one electronnumber of electrons=221.6×1019\begin{align*} \text{number of electrons} &= \frac{q}{\text{charge of one electron}}\\ \text{number of electrons} &= \frac{22}{1.6 \times 10^{-19}} \end{align*}

Number of electrons = 1.4×10201.4 \times 10^{20} (to 2 significant figures)

Marking Criteria
DescriptorMarks

indicates an understanding of the physical scenario in relation to current, charge and time

1

provides pertinent mathematical operation/s correctly performed

1

arrives at a consequentially correct value

1
Q11
2024
VCAA
1 mark
Q11
1 mark

In Victoria, the electrical energy generated at the Loy Yang A power station is transmitted to Melbourne, approximately 170 km170 \text{ km} away, using 500 kV500 \text{ kV} transmission lines.

Which one of the following best describes the reason for the use of high-voltage transmission of electrical energy over long distances?

A

Transformers can be used to increase the voltage.

B

High voltages reduce energy losses in the transmission lines.

C

High voltages can easily carry the large power required by cities.

D

High voltages reduce the overall total resistance in the transmission lines.

Reveal Answer
A

Transformers can be used to increase the voltage.

While transformers are indeed used to step up the voltage, this explains how high voltages are achieved, not why they are beneficial for long-distance transmission.

B

High voltages reduce energy losses in the transmission lines.

Correct Answer

For a given amount of power, transmitting at a higher voltage reduces the current (P=VIP=VI). A lower current significantly reduces the power lost as heat in the transmission lines (Ploss=I2RP_{\text{loss}} = I^2R).

C

High voltages can easily carry the large power required by cities.

While high voltages are used to transmit large amounts of power, the fundamental reason for stepping up the voltage is to minimize power loss during transmission, not just to increase capacity.

D

High voltages reduce the overall total resistance in the transmission lines.

The resistance of a transmission line is determined by its physical properties (material, length, and cross-sectional area), not by the voltage applied to it.

Q3
2022
QCAA
Paper 1
1 mark
Q3
1 mark

The energy available for electrical charges moving through a circuit is measured in terms of the

A

potential difference.

B

capacitance.

C

resistance.

D

current.

Reveal Answer
A

potential difference.

Correct Answer

Potential difference, or voltage, is defined as the energy transferred per unit charge (V=E/QV = E/Q), representing the energy available to move charges through a circuit.

B

capacitance.

Capacitance measures a component's ability to store electrical charge (C=Q/VC = Q/V), not the energy available for charges actively moving through a circuit.

C

resistance.

Resistance is the opposition to the flow of electric current, which dissipates energy rather than measuring the energy available for the charges.

D

current.

Current is the rate of flow of electric charge (I=Q/tI = Q/t), measuring how many charges move past a point per second rather than the energy they carry.

Q1
2024
QCAA
Paper 1
1 mark
Q1
1 mark

Power dissipation in an electric circuit is

A

a rate at which energy is lost from the circuit.

B

the ratio of the voltage applied as the electric current flows through it.

C

the ratio of useful work performed by a component to total energy expended.

D

the energy inputs in a circuit that equal the sum of energy output from loads in the circuit.

Reveal Answer
A

a rate at which energy is lost from the circuit.

Correct Answer

Power is defined as the rate of energy transfer over time (P=E/tP = E/t). Power dissipation specifically refers to the rate at which electrical energy is converted into heat and lost from the circuit.

B

the ratio of the voltage applied as the electric current flows through it.

The ratio of voltage to current (V/IV/I) defines electrical resistance, not power. Power is calculated as the product of voltage and current (P=VIP = VI).

C

the ratio of useful work performed by a component to total energy expended.

The ratio of useful work performed to total energy expended defines the efficiency of a system, not power dissipation.

D

the energy inputs in a circuit that equal the sum of energy output from loads in the circuit.

This describes the Law of Conservation of Energy, which states total energy input equals total energy output. Power dissipation is the rate of energy loss, not the total energy balance.

Q12
2024
QCAA
Paper 1
1 mark
Q12
1 mark

Calculate the work done when an electrical appliance operates for 5.0 minutes5.0 \text{ minutes} at 210 V210 \text{ V} while drawing a current of 1.7 A1.7 \text{ A}.

A

1.2 J1.2 \text{ J}

B

360 J360 \text{ J}

C

1800 J1800 \text{ J}

D

110000 J110\,000 \text{ J}

Reveal Answer
A

1.2 J1.2 \text{ J}

Incorrect. This value does not follow the formula for electrical work (W=VItW = VIt) and likely results from an arbitrary combination of the given numbers.

B

360 J360 \text{ J}

Incorrect. This value represents the power of the appliance (P=VI=357 WP = VI = 357 \text{ W}), not the total work done. Work requires multiplying power by time.

C

1800 J1800 \text{ J}

Incorrect. This calculation fails to convert time to standard SI units (seconds). Using 5.0 minutes5.0 \text{ minutes} directly in the formula yields 1785 J1785 \text{ J}, which is incorrect.

D

110000 J110\,000 \text{ J}

Correct Answer

Correct. Work done is calculated using W=VItW = VIt. Converting 5.0 minutes5.0 \text{ minutes} to 300 seconds300 \text{ seconds}, W=210×1.7×300=107,100 JW = 210 \times 1.7 \times 300 = 107,100 \text{ J}, which rounds to 110,000 J110,000 \text{ J} to match the two significant figures of the given values.

Q3
2020
QCAA
Paper 2
4 marks
Q3
4 marks

A student connected a voltmeter to measure the voltage across an appliance. The voltage measured was 125 V and the power output of the appliance was 490 W. The resistance of the appliance was 11 Ω\Omega.

Calculate the efficiency of the appliance (to the nearest whole number).

Reveal Answer

P=VIP=VI

I=VR=12511=11.37 AI=\dfrac{V}{R}=\dfrac{125}{11}=11.37\ \text{A}

P=VI=125×11.37=1420.45 WP=VI=125\times 11.37=1420.45\ \text{W}

Efficiency =outputinput=4901420.45×100=34 %=\dfrac{\text{output}}{\text{input}}=\dfrac{490}{1420.45}\times 100=34\ \%

Marking Criteria
DescriptorMarks

indicates an understanding of circuit analysis in relation to V, I, R and P

1

provides pertinent mathematical operation/s correctly performed to determine power input

1

provides pertinent mathematical operation/s correctly performed to determine efficiency

1

arrives at a consequentially correct answer

1
Q18
2020
QCAA
Paper 1
1 mark
Q18
1 mark

The rate of movement of electric charge carriers from one part of a conductor to another was measured to be 13 C s1^{-1}. What is this value equivalent to?

A

13 A

B

13 V

C

13 Ω\Omega

D

13 W

Reveal Answer
A

13 A

Correct Answer

This is correct because electric current is the rate of flow of electric charge, and 1 Ampere (A) is defined as 1 Coulomb per second (C s1^{-1}).

B

13 V

This is incorrect because Volts (V) measure electric potential difference, which is equivalent to Joules per Coulomb (J C1^{-1}), not Coulombs per second.

C

13 Ω\Omega

This is incorrect because Ohms (Ω\Omega) measure electrical resistance, which is equivalent to Volts per Ampere (V A1^{-1}).

D

13 W

This is incorrect because Watts (W) measure power, which is the rate of energy transfer and is equivalent to Joules per second (J s1^{-1}).

Q20
2022
QCAA
Paper 1
1 mark
Q20
1 mark

An 8.0 V battery is used to power a circuit with 2.4 Ω2.4 \ \Omega and 3.6 Ω3.6 \ \Omega resistors placed in series. Calculate the total power of the circuit.

A

1.3 W

B

11 W

C

44 W

D

48 W

Reveal Answer
A

1.3 W

This value represents the total current in the circuit (I=V/R=8.0/6.01.3 AI = V/R = 8.0 / 6.0 \approx 1.3 \text{ A}), not the total power.

B

11 W

Correct Answer

The total series resistance is R=2.4+3.6=6.0 ΩR = 2.4 + 3.6 = 6.0 \ \Omega. The total power is calculated using P=V2/R=8.02/6.011 WP = V^2/R = 8.0^2 / 6.0 \approx 11 \text{ W}.

C

44 W

This would be the total power if the resistors were connected in parallel (Req=1.44 ΩR_{eq} = 1.44 \ \Omega), but the problem states they are in series.

D

48 W

This is the result of multiplying voltage by resistance (V×RV \times R), which does not give power. Power must be calculated using P=V2/RP = V^2/R or P=VIP = VI.

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