In an AC circuit, instantaneous current and voltage are i = (1/√2) sin(100πt) A and e = (1/√2) sin(100πt + π/3) V. Find the average power consumed.
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In an AC circuit, instantaneous current and voltage are i = (1/√2) sin(100πt) A and e = (1/√2) sin(100πt + π/3) V. Find the average power consumed.

G1 Physics · Accepted Answer

Step 1: The amplitudes are I₀=1/√2 A and V₀=1/√2 V. Their phase difference is π/3. Step 2: RMS values are I_rms=I₀/√2=1/2 A and V_rms=V₀/√2=1/2 V. Step 3: Average AC power P=V_rmsI_rms cosφ=(1/2)(1/2)cos(π/3). Step 4: P=(1/4)(1/2)=1/8 W. Final answer: (D) 1/8 W.