(D) When two capacitors are connected in parallel,the total charge is conserved.Let $C_1 = 10\,\mu F$ and $V_1 = 50\;V$.Let the second capacitor have

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(D) When two capacitors are connected in parallel,the total charge is conserved.Let $C_1 = 10\,\mu F$ and $V_1 = 50\;V$.Let the second capacitor have capacitance $C_2$ and initial potential $V_2 = 0\;V$.The common potential $V$ is given by the formula:$V = \frac{C_1 V_1 + C_2 V_2}{C_1 + C_2}$Substituting the given values:$20 = \frac{10 \times 50 + C_2 \times 0}{10 + C_2}$$20 = \frac{500}{10 + C_2}$$20(10 + C_2) = 500$$200 + 20C_2 = 500$$20C_2 = 300$$C_2 = 15\,\mu F$

Class 12 Physics Electrostatic Potential and Capacitance Sharing of Charge in Capacitor Circuit

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$A$ $10\,\mu F$ capacitor is charged to a potential difference of $50\;V$ and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes $20\;V$. The capacitance of the second capacitor is....$\mu F$

A
$10$
B
$20$
C
$30$
D
$15$

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Electrostatic Potential and Capacitance

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Sharing of Charge in Capacitor Circuit

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$A$ $10\,\mu F$ capacitor is charged to a potential difference of $50\;V$ and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes $20\;V$. The capacitance of the second capacitor is....$\mu F$

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