28. The peak voltage in the output of a half-wave diode rectifier fed with a sinusoidal signal without filter is10 V. The d.c component of the output voltage is ?
(a) 20/πV
(b) 10/√2 V
(c) 10/πV
(d) 10V
Answer : (c) 10/πV
\( V_{\text{avg}} = \frac{1}{T} \int_{0}^{\pi} V_0 \sin\theta \, d\theta \)
\( = \frac{1}{2\pi} \int_{0}^{\pi} V_0 \sin\theta \, d\theta \)
\( = \frac{V_0}{2\pi} \left[ -\cos\theta \right]_0^{\pi} \)
\( = \frac{V_0}{2\pi} [ +1 - (-1) ] \)
\( = \frac{V_0}{\pi} \)
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