(D) $1$. Initial charge on capacitor $C_{1}$ is $Q = C_{1}V = 2\, \mu F \times 10\, V = 20\, \mu C$.$2$. When the battery is removed and $C_{1}$ is co

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(D) $1$. Initial charge on capacitor $C_{1}$ is $Q = C_{1}V = 2\, \mu F \times 10\, V = 20\, \mu C$.$2$. When the battery is removed and $C_{1}$ is connected to the uncharged capacitor $C_{2}$,the total charge $Q$ is conserved and shared between the two capacitors.$3$. The common potential $V'$ after connection is given by $V' = \frac{Q}{C_{1} + C_{2}} = \frac{20\, \mu C}{2\, \mu F + 8\, \mu F} = \frac{20}{10} = 2\, V$.$4$. The charge on capacitor $C_{2}$ at equilibrium is $Q_{2} = C_{2}V' = 8\, \mu F \times 2\, V = 16\, \mu C$.

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

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$A$ $2\, \mu F$ capacitor $C_{1}$ is first charged to a potential difference of $10\, V$ using a battery. Then the battery is removed and the capacitor is connected to an uncharged capacitor $C_{2}$ of $8\, \mu F$. The charge in $C_{2}$ on equilibrium condition is $\ldots\, \mu C$. (Round off to the Nearest Integer)

JEE MAIN 2021 All JEE MAIN

A
$9$
B
$25$
C
$20$
D
$16$

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Electric Potential and Capacitance

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Sharing of Charge in Capacitor Circuit

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$A$ capacitor of capacitance $4 \mu F$ is charged to a potential difference of $6 \ V$ with a battery. The battery is then removed and in its place another capacitor of capacitance $8 \mu F$ is introduced and the circuit is closed. The potential difference attained by each of the capacitors in $V$ is

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Two capacitors of $10 \ pF$ and $20 \ pF$ are connected to $200 \ V$ and $100 \ V$ sources respectively. If they are connected by a wire,what is the common potential of the capacitors (in $V$)?

MediumKCET 2014

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$A$ capacitor $C$ is fully charged with voltage $V_{0}$. After disconnecting the voltage source,it is connected in parallel with another uncharged capacitor of capacitance $\frac{C}{2}$. The energy loss in the process after the charge is distributed between the two capacitors is $.........$ $CV_{0}^{2}$.

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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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Circuits $(a)$ and $(b)$ have charged capacitors with capacitances $C, 2C$ and $3C$ as shown,with an open switch $S$. When the switch is closed,determine the direction of charge flow for each circuit.

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Two capacitors of $10 \ pF$ and $20 \ pF$ are connected to $200 \ V$ and $100 \ V$ sources respectively. If they are connected by a wire,what is the common potential of the capacitors (in $V$)?

$A$ 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$)

Circuits $(a)$ and $(b)$ have charged capacitors with capacitances $C, 2C$ and $3C$ as shown,with an open switch $S$. When the switch is closed,determine the direction of charge flow for each circuit.

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