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When should I use P = V²/R versus P = I²R?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

Both formulas are correct but optimal in different situations:

Use P = V²/R when:

  • You know voltage and resistance
  • Voltage is constant (like a fixed power supply)
  • You're analyzing parallel circuits
  • Resistance changes and you need to see power impact

Use P = I²R when:

  • You know current and resistance
  • Current is constant (like series circuits)
  • You're calculating power loss in wires
  • You're analyzing heat dissipation

Example scenario: A 10Ω resistor in a circuit:

  • If voltage is known (12V): P = 144/10 = 14.4W
  • If current is known (1.2A): P = 1.44 × 10 = 14.4W

Both give the same answer—choose based on what you can measure easily.

General · Class 12