For a half wave rectified sinusoidal current wave, the maximum value is 100 A. Find the RMS value for the same.

Concept:

• Half-wave rectifiers transform AC voltage to DC voltage. A halfwave rectifier circuit uses only one diode for the transformation.
• A halfwave rectifier is defined as a type of rectifier that allows only one-half cycle of an AC voltage waveform to pass while blocking the other half cycle.
• A rectifier is a device that converts alternating current (AC) to direct current (DC).

​The working of the same can be understood by the below diagram

\(I_{rms}={[\frac{1}{2\pi}\int_{0}^{\pi} {I_m^2sin^2{\omega t}} \,d(\omega t)}]^{1\over2}\)

\(\therefore\)The RMS value of the half-wave rectifier output is given by the expression

 \(I_{rms}={I_m\over2}\)    ...........(1)

Solution:

Given to us is the value \(I_m=100~A\)

Put the above value in equation 1

\(\implies\)\(I_{rms}={100\over2}\)

\(\implies I_{rms}=50~A\)