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  4. A sinusoidal voltage of rms value 200 V is connected to the diode and capacitor C in the circuit shown so that half-wave rectification occurs. The final potential difference in volt, across C, is

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Q. A sinusoidal voltage of rms value $200\, V$ is connected to the diode and capacitor $C$ in the circuit shown so that half-wave rectification occurs. The final potential difference in volt, across $C$, isPhysics Question Image

Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

A junction diode conducts during alternate half-cycles of ac input supply. During the half-cycle of conduction, the capacitor will charge itself to peak value of supply voltage.
$\therefore $ Voltage across capacitor
$=E_{\text {rms }} \sqrt{2}=200 \times \sqrt{2} V =282.8\, V \approx 283\, V$