(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 Electric Potential and Capacitance Sharing of Charge in Capacitor Circuit

Medium

$A$ $10\,\mu F$ 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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Electric Potential and Capacitance

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Sharing of Charge in Capacitor Circuit

Two capacitors $C_1$ and $C_2$ are connected in parallel. If a charge $Q$ is given to the combination,the charge gets shared. Then the ratio of charge on $C_1$ to charge on $C_2$ is . . . . . . .

EasyGUJCET 2006

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$A$ $0.2\,F$ capacitor is charged to $600\,V$ by a battery. On removing the battery,it is connected to another parallel plate capacitor of $1\,F$. The potential decreases to.........$V$.

Easy

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$A$ $10 \mu F$ capacitor is charged by a $100 V$ battery. It is disconnected from the battery and is connected to another uncharged capacitor of capacitance $30 \mu F$. During this process,the electrostatic energy lost by the first capacitor is

MediumTS EAMCET 2024

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$A$ capacitor of capacity $4 \, \mu F$ is charged to $80 \, V$ and another capacitor of capacity $6 \, \mu F$ is charged to $30 \, V$. When they are connected, the energy lost by the $4 \, \mu F$ capacitor is: (in $ \, mJ$)

DifficultAP EAMCET 2001

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Two capacitors of $2\ \mu F$ and $3\ \mu F$ are charged to $300\ V$ and $500\ V$ respectively. When they are connected in parallel, the energy lost is: (in $J$)

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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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Two capacitors $C_1$ and $C_2$ are connected in parallel. If a charge $Q$ is given to the combination,the charge gets shared. Then the ratio of charge on $C_1$ to charge on $C_2$ is . . . . . . .

$A$ $0.2\,F$ capacitor is charged to $600\,V$ by a battery. On removing the battery,it is connected to another parallel plate capacitor of $1\,F$. The potential decreases to.........$V$.

$A$ $10 \mu F$ capacitor is charged by a $100 V$ battery. It is disconnected from the battery and is connected to another uncharged capacitor of capacitance $30 \mu F$. During this process,the electrostatic energy lost by the first capacitor is

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