The RMS value of a half-wave rectified current is 10 Ampere. Its value for full-wave rectification would be

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RPSC Lecturer Previous Paper (Held On: 2014 )

Option 2 : 14.14 Ampere

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__Half wave rectifier__:

RMS Value\(= \frac{{Max.\;value}}{2}\)

Average Value =\(\frac{{Max.\;value}}{\pi }\)

__Full-wave rectifier__:

\(rms\;value = \frac{{maximum\;value}}{{\sqrt 2 }}\)

\(Average\;value = 2\left( {\frac{{maximum\;value}}{\pi }} \right)\)

**Calculation:**

The RMS value of a half-wave rectified current is 10 Ampere

RMS Value \(= \frac{{Max.\;value}}{2}\)

10 = \(= \frac{{Max.\;value}}{2}\)

Maximum value (I_{m}) = 20 A

The RMS value for full-wave rectification

\(rms\;value = \frac{{maximum\;value}}{{\sqrt 2 }}\)

\(rms\;value = \frac{{20}}{{\sqrt 2 }}\)

**RMS value = 14.14 A**