Question
Download Solution PDFThe r.m.s. value of a Half-wave Rectified symmetrical square wave current of 2A is:-
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHalf wave rectifier:
A type of circuit arrangement that only allows one half-cycle of an AC voltage waveform to pass, blocking the other half-cycle.
For square wave input, the output will be
Formula for RMS voltage:
\(I_{rms}^2 = \frac{1}{T}\mathop \smallint \limits_0^T {I^2}\left( t \right)\;dt\)
Where Vrms = RMS value of current
T = Time period
V(t) = Current
Calculation:
Given:
T = 2π
V(t) = 2 A
\(I_{rms}^2 = \frac{1}{{2\pi }}\mathop \smallint \limits_0^{2\pi } {I^2}\left( t \right)dt = \frac{1}{{2\pi }}\left[ {\mathop \smallint \limits_0^\pi {I^2}\left( t \right)dt + \mathop \smallint \limits_\pi ^{2\pi } 0dt} \right]\)
\(I_{rms}^2 = \frac{1}{{2\pi }}\mathop \smallint \limits_0^\pi {2^2}dt\)
\(I_{rms}^2 = \frac{1}{{2\pi }}4\pi = 2\)
Irms = √2 A
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