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.
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