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9702 · 9.2

Potential difference and power — practice questions

Practice and worked examples for 9702 Potential difference and power. Short previews only — attempt the full question in MarkScheme against the official scheme.

Worked example 1

A light bulb is connected across a 12 V power supply, drawing a current of 0.5 A for 10 minutes.

  1. Calculate the electrical power dissipated by the bulb.
  2. Calculate the total electrical energy converted by the bulb in this time.
Show solution outline
  1. To find the power (P), we use the formula P=VIP = VI: Given: V=12 VV = 12 \text{ V}, I=0.5 AI = 0.5 \text{ A} P=12 V×0.5 A=6 WP = 12 \text{ V} \times 0.5 \text{ A} = 6 \text{ W} The electrical power dissipated by the bulb is 6 Watts.
  2. To find the total energy (E), we use the formula E=VItE = VIt. First, convert the time to seconds: t=10 minutes×60 seconds/minute=600 st = 10 \text{ minutes} \times 60 \text{ seconds/minute} = 600 \text{ s} Now, substitute the values into the energy formula: E=12 V×0.5 A×600 sE = 12 \text{ V} \times 0.5 \text{ A} \times 600 \text{ s} E=6 W×600 s=3600 JE = 6 \text{ W} \times 600 \text{ s} = 3600 \text{ J} The total electrical energy converted by the bulb is 3600 Joules.

Worked example 2

A resistor of 8.0Ω8.0\,\Omega carries a current of 2.5A2.5\,\text{A}. Find the potential difference across it and the power dissipated using V=IRV=IR and P=I2RP=I^2R.

Show solution outline

V=IR=2.5×8.0=20VV = IR = 2.5 \times 8.0 = 20\,\text{V} P=I2R=(2.5)2×8.0=50WP = I^2R = (2.5)^2 \times 8.0 = 50\,\text{W}