Part of JES-03 — Current Electricity: Ohm's Law, Kirchhoff's & Circuits

Electrical Power and Energy

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Power P = VI = I2RI^{2R} = V2V^2/R. SI unit: watt (W). Energy E = Pt = VIt = I2RtI^{2Rt}. SI unit: joule (J). Commercial unit: kWh (1 kWh = 3.6 x 10^6 J). In series (same I): P proportional to R — the larger resistor dissipates more power. In parallel (same V): P proportional to 1/R — the smaller resistor dissipates more power. Total power: series PtotalP_{total} < individual P (because ReqR_{eq} > any RiR_i with same I). Parallel PtotalP_{total} > individual P.

Heating effect (Joule's law): H = I2RtI^{2Rt}. Fuse rating: a fuse melts when I2RI^{2R} exceeds its thermal capacity. Fuses are low-melting-point alloys with specific current ratings.

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