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A $220 \mathrm{~V}$ AC supply is connected between points A and B (figure). What will be the potential difference $\mathrm{V}$ across the capacitor?

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Verified Answer
The correct answer is:
$220 \sqrt{2} \mathrm{~V}$
$220 \sqrt{2} \mathrm{~V}$
As the given figure $\mathrm{p}-\mathrm{n}$ junction conducts during positive half cycyle only, then diode connected here will work is positive half cycle. Potential difference across $\mathrm{C}$ will be peak voltage when diode is in forword bias then the peak voltage of the given $\mathrm{AC}$ voltage
$$
=\mathrm{V}_0=\mathrm{V}_{\mathrm{rms}} \sqrt{2}=220 \sqrt{2} \mathrm{~V}
$$
$$
=\mathrm{V}_0=\mathrm{V}_{\mathrm{rms}} \sqrt{2}=220 \sqrt{2} \mathrm{~V}
$$
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