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Electrical power Formula, SPM Physics

Formula: P = VI = I²R = V²/R. Not given in the exam, recall it.

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Electrical power
P = VI = I²R = V²/R

Not given in the exam, recall it.

What it is for

Electrical power is used in Electricity (SPM Physics Form 5). Keep the SI units in every line of working. Electricity

Symbols and SI units

SymbolMeaningSI unit
Pelectrical powerW
Vpotential differenceV
IcurrentA
RresistanceΩ

Rearrangements

  • I = P / V
  • R = V² / P
  • R = P / I²

Worked example

An appliance draws I = 5.0 A at V = 240 V. P = VI = 240 × 5.0 = 1200 W = 1.2 kW.

Common trap

Pick the form that matches the known quantities. In I²R square the current; in V²/R square the voltage.

Understanding Electrical power

Electrical power P is the rate at which electrical energy is transferred, measured in watts (W). It links three quantities: V, the potential difference across the component in volts (V); I, the current through it in amperes (A); and R, its resistance in ohms (Ω).

The three forms P = VI, P = I²R and V²/R are all consistent because Ohm's law (V = IR) lets you substitute one quantity for another. Use P = VI when voltage and current are known; use I²R when current and resistance are known; use V²/R when voltage and resistance are known.

To rearrange, divide to isolate the unknown: I = P / V finds the current, R = V² / P finds the resistance from voltage, and R = P / I² finds it from current.

A worked example, step by step

A heating element of resistance R = 20 Ω carries a current of I = 3 A. Find the power dissipated.

Because current and resistance are known, choose the I²R form:

P = I²R = (3 A)² × 20 Ω = 9 × 20 = 180 W.

Notice that the current is squared before multiplying by the resistance. If you had wrongly used I × R you would get 60, which is the voltage across the element (V = IR = 3 × 20 = 60 V), not the power.

As a check, P = VI = 60 V × 3 A = 180 W gives the same answer to a sensible 2 significant figures. The dissipated power is 180 W.

Common mistakes and how this is tested

The main trap is choosing a form that does not match the known quantities, then forgetting to square. In I²R you square the current; in V²/R you square the voltage.

A second error is confusing power (W) with energy (J), since energy = power × time. A third is mismatched units, such as leaving power in kilowatts while current is in amperes.

Under the command word calculate, you must show the substitution with units before the final answer. Under define, state that power is energy transferred per unit time.

Under explain, you may be asked why a thicker wire dissipates less heat for the same current, which the I²R form makes clear.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English), Sijil Pelajaran Malaysia: Format Pentaksiran mulai 2021, Fizik (4531) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Written by the spmphysics.com.my editorial team.· Updated 5 Sept 2026

Frequently asked questions

Is this formula given in the exam?
No. SPM Physics papers provide no formula sheet, so this must be recalled.
Which form of the power formula should I use?
Match it to what you know: P = VI for voltage and current, P = I²R for current and resistance, and P = V²/R for voltage and resistance. All three give the same power for the same component.
What is the difference between power and energy?
Power is the rate of energy transfer in watts (joules per second). Energy is power multiplied by time, E = Pt, in joules. A 1000 W heater run for 60 s transfers 60000 J.
Why is the current squared in P = I²R?
Because P = VI and V = IR, so substituting gives P = (IR)I = I²R. Squaring the current means doubling the current quadruples the power dissipated as heat.

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