In half wave rectifier if the D.C component at output is $\large\frac{10}{\pi} $$V$ What is the peak value of sinusoidal input signal.

Question

$(a)\;\frac{10}{\sqrt 2} V \\ (b)\;10 \;V \\ (c)\;\frac{20}{\pi} V \\ (d)\;10 \sqrt 2 \;V $

Answer 1

If $V_{peak} $ is the peak value of the input sinusoidal wave for half wave rectifier the average value of output or DC value =$ \large\frac{V_{Peak}}{\pi}$

$\therefore V_{DC}=\large\frac{V_{peak}}{\pi}$

$V_{DC}=\large\frac{10}{\pi}\;$$volts$

$\therefore V_{peak}=\large\frac{10}{\pi} \times \pi $

$\qquad= 10\;volts$

Hence b is the correct answer.