Peak voltage of the output of a half-wave rectifier (ideal diode) is Vₘ. What is its average DC output?
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Question

Peak voltage of the output of a half-wave rectifier (ideal diode) is Vₘ. What is its average DC output?

G1 Physics · Accepted Answer

For half-wave rectified sine voltage, v = Vₘ sinθ during 0 ≤ θ ≤ π and zero for π to 2π. V_dc = (1/(2π)) ∫₀^π Vₘ sinθ dθ = (Vₘ/(2π)) × 2 = Vₘ/π. Final answer: Option B.