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Half-wave rectifier R.M.S. Output Voltage (Vrms) Derivation

The most important question of Rectifiers and Filters in Electronic Devices and Circuits; Derive the R.M.S. Output Voltage (Vrms) of the half-wave rectifier? is being answered here.

Half-wave rectifier R.M.S. Output Voltage (Vrms) Derivation:

R.M.S. voltage across the load is given by
Half-wave rectifier

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