Practice portal › Semiconductor Electronics › Diode as a Rectifier
Asked in GUJCET 2013 · Output waveforms
Given: Vₘ = 220 V and an ideal diode, so one half of every cycle reaches R unchanged and the other half is blocked completely.
Idea: rms means the square root of the mean of v² taken over a whole period, and the blocked half contributes zero to that mean.
Over the conducting half the mean of v² is (Vₘ²)/2; over the blocked half it is 0.
Averaging across the whole cycle, v² = 1/2 · (Vₘ²)/2 = (Vₘ²)/4.
So Vᵣₘₛ = (Vₘ)/2 = (220)/2 = 110 V, half the peak and not Vₘ/√2.
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