It is clear that current and voltage are in same phase, hence, power factor cos Ø = 1.
∴ Power = Vrms Irms = 1/2 VmIm = 1/2 × 200 × 10 = 1000 W.
Class 12 Physics Chapter 7 Alternating current Session 2024-2025.
The instantaneous current and voltage of an a.c. circuit are given by I = 10 sin 300t A and V = 200 sin 300t V. What is the Power dissipation in the curcuit?
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Since the current and voltage are in phase, the power factor cosϕ = 1. The power dissipation is given by P = V rms I rms
For Vrms = 200V and I rms = 10 A,
the power dissipation is P = 1/2 × 200 × 10 = 1000 W.
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