QCAA Physics Alternative Sequence Electrical circuits
10 sample questions with marking guides and sample answers
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?
C
C
C
C
Reveal Answer
C
This value represents the charge of three elementary charges (like protons or electrons), not the total macroscopic charge calculated using the formula .
C
This incorrect answer comes from dividing the current by the time in seconds (), rather than multiplying them.
C
This results from multiplying the current by the time in minutes (), forgetting the crucial step of converting time to standard SI units (seconds).
C
Charge is calculated as current multiplied by time in seconds (). Multiplying 3 A by 180 seconds gives 540 C, which is C in scientific notation.
The generator of an electrical power plant delivers to external transmission lines when operating at . The generator's voltage is stepped up to for transmission and stepped down to away (for domestic use). The overhead transmission lines have a total resistance of . Assume that all transformers are ideal.
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: .
| Descriptor | Marks |
|---|---|
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 () | 1 |
Calculate the current in the overhead transmission lines. Show your working.
Reveal Answer
| Descriptor | Marks |
|---|---|
Correct substitution into | 1 |
Correct final answer of or | 1 |
Determine the maximum power available for domestic use at . Show all your working.
Reveal Answer
This solution has two steps. The first is to calculate the power lost:
This was then subtracted from the power delivered by the generator:
| Descriptor | Marks |
|---|---|
Calculates the power lost in the lines () | 1 |
Subtracts the power lost from the total power delivered by the generator | 1 |
Calculates the correct available power () | 1 |
A direct current of is flowing through a circuit. Calculate the number of electrons that have flowed past the positive terminal of the battery in (to 2 significant figures).
Reveal Answer
Then we have:
Number of electrons = (to 2 significant figures)
| Descriptor | Marks |
|---|---|
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 |
In Victoria, the electrical energy generated at the Loy Yang A power station is transmitted to Melbourne, approximately away, using transmission lines.
Which one of the following best describes the reason for the use of high-voltage transmission of electrical energy over long distances?
Transformers can be used to increase the voltage.
High voltages reduce energy losses in the transmission lines.
High voltages can easily carry the large power required by cities.
High voltages reduce the overall total resistance in the transmission lines.
Reveal Answer
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.
High voltages reduce energy losses in the transmission lines.
For a given amount of power, transmitting at a higher voltage reduces the current (). A lower current significantly reduces the power lost as heat in the transmission lines ().
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.
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.
The energy available for electrical charges moving through a circuit is measured in terms of the
potential difference.
capacitance.
resistance.
current.
Reveal Answer
potential difference.
Potential difference, or voltage, is defined as the energy transferred per unit charge (), representing the energy available to move charges through a circuit.
capacitance.
Capacitance measures a component's ability to store electrical charge (), not the energy available for charges actively moving through a circuit.
resistance.
Resistance is the opposition to the flow of electric current, which dissipates energy rather than measuring the energy available for the charges.
current.
Current is the rate of flow of electric charge (), measuring how many charges move past a point per second rather than the energy they carry.
Power dissipation in an electric circuit is
a rate at which energy is lost from the circuit.
the ratio of the voltage applied as the electric current flows through it.
the ratio of useful work performed by a component to total energy expended.
the energy inputs in a circuit that equal the sum of energy output from loads in the circuit.
Reveal Answer
a rate at which energy is lost from the circuit.
Power is defined as the rate of energy transfer over time (). Power dissipation specifically refers to the rate at which electrical energy is converted into heat and lost from the circuit.
the ratio of the voltage applied as the electric current flows through it.
The ratio of voltage to current () defines electrical resistance, not power. Power is calculated as the product of voltage and current ().
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.
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.
Calculate the work done when an electrical appliance operates for at while drawing a current of .
Reveal Answer
Incorrect. This value does not follow the formula for electrical work () and likely results from an arbitrary combination of the given numbers.
Incorrect. This value represents the power of the appliance (), not the total work done. Work requires multiplying power by time.
Incorrect. This calculation fails to convert time to standard SI units (seconds). Using directly in the formula yields , which is incorrect.
Correct. Work done is calculated using . Converting to , , which rounds to to match the two significant figures of the given values.
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 .
Calculate the efficiency of the appliance (to the nearest whole number).
Reveal Answer
Efficiency
| Descriptor | Marks |
|---|---|
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 |
The rate of movement of electric charge carriers from one part of a conductor to another was measured to be 13 C s. What is this value equivalent to?
13 A
13 V
13
13 W
Reveal Answer
13 A
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 s).
13 V
This is incorrect because Volts (V) measure electric potential difference, which is equivalent to Joules per Coulomb (J C), not Coulombs per second.
13
This is incorrect because Ohms () measure electrical resistance, which is equivalent to Volts per Ampere (V A).
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 s).
An 8.0 V battery is used to power a circuit with and resistors placed in series. Calculate the total power of the circuit.
1.3 W
11 W
44 W
48 W
Reveal Answer
1.3 W
This value represents the total current in the circuit (), not the total power.
11 W
The total series resistance is . The total power is calculated using .
44 W
This would be the total power if the resistors were connected in parallel (), but the problem states they are in series.
48 W
This is the result of multiplying voltage by resistance (), which does not give power. Power must be calculated using or .