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How do you calculate the electrical power dissipated by a component and the energy it transfers?

Electrical power and energy: power as the rate of energy transfer, the equations relating power to voltage, current and resistance, and resistor power ratings.

An Eduqas GCSE Electronics answer on electrical power and energy: power as the rate of energy transfer, the three power equations, calculating energy transferred over time, and why resistor power ratings matter.

Generated by Claude Opus 4.812 min answer

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  1. What this dot point is asking
  2. The answer
  3. Examples in context
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What this dot point is asking

Eduqas wants you to define electrical power as the rate of energy transfer, use the three power equations to calculate the power dissipated by a component, work out the energy transferred over a time, and explain why a resistor's power rating must exceed the power it dissipates. Power calculations decide component ratings, heat-sinking and battery life.

The answer

Power as a rate of energy transfer

The three power equations

Energy transferred over time

Power ratings

Examples in context

Power calculations appear throughout both papers. The current-limiting resistor for an LED dissipates power you must check against its rating. A transistor switching a motor dissipates power and may need a heat sink. The mains-driven heating element in a controller transfers energy you calculate with E=PtE = Pt. Estimating how long a battery lasts in a portable design starts from the power drawn by each subsystem. Fluent power calculation protects your circuits and earns method marks.

Try this

Q1. State the unit of power and what one of that unit equals. [1 mark]

  • Cue. The watt (W); one watt is one joule per second.

Q2. A component has 12 V12\ \text{V} across it and draws 0.50 A0.50\ \text{A}. Find the power. [2 marks]

  • Cue. P=VI=12×0.50=6.0 WP = VI = 12 \times 0.50 = 6.0\ \text{W}.

Q3. A 2.0 W2.0\ \text{W} lamp runs for 3030 seconds. Find the energy transferred. [2 marks]

  • Cue. E=Pt=2.0×30=60 JE = Pt = 2.0 \times 30 = 60\ \text{J}.

Exam-style practice questions

Practice questions written in the style of WJEC Eduqas exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

Eduqas 20193 marksA resistor carries a current of 50 mA50\ \text{mA} and has a resistance of 120 Ω120\ \Omega. Calculate the power it dissipates and state a suitable standard power rating for it from 0.25 W0.25\ \text{W}, 0.5 W0.5\ \text{W} and 1 W1\ \text{W}.
Show worked answer →

Use P=I2RP = I^2 R because the current and resistance are known.

Convert: I=50 mA=0.050 AI = 50\ \text{mA} = 0.050\ \text{A}.

Substitute: P=(0.050)2×120=0.0025×120=0.30 WP = (0.050)^2 \times 120 = 0.0025 \times 120 = 0.30\ \text{W}.

A resistor must be rated above the power it dissipates, so the 0.25 W0.25\ \text{W} rating is too low; choose the 0.5 W0.5\ \text{W} rating.

Markers reward the correct equation and substitution, the answer 0.30 W0.30\ \text{W}, and the 0.5 W0.5\ \text{W} rating with the reason that the rating must exceed the dissipated power.

Eduqas 20223 marksA 5.0 V5.0\ \text{V} supply drives a heating element of resistance 10 Ω10\ \Omega for 2.02.0 minutes. Calculate the energy transferred.
Show worked answer →

First find the power. With voltage and resistance known, use P=V2R=(5.0)210=2510=2.5 WP = \dfrac{V^2}{R} = \dfrac{(5.0)^2}{10} = \dfrac{25}{10} = 2.5\ \text{W}.

Convert the time to seconds: 2.0 minutes=120 s2.0\ \text{minutes} = 120\ \text{s}.

Energy transferred: E=Pt=2.5×120=300 JE = Pt = 2.5 \times 120 = 300\ \text{J}.

Markers reward finding the power 2.5 W2.5\ \text{W}, converting the time to seconds, and the energy 300 J300\ \text{J}. Forgetting to convert minutes to seconds is the usual error.

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