(B) When two conductors are brought into contact,charge flows from the conductor at a higher potential to the conductor at a lower potential until the

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$\frac{Q_1}{Q_2} = \frac{C_1}{C_2}$

(B) When two conductors are brought into contact,charge flows from the conductor at a higher potential to the conductor at a lower potential until their potentials become equal.Let the final common potential be $V$.The charge on the first sphere is $Q_1 = C_1 V$.The charge on the second sphere is $Q_2 = C_2 V$.Taking the ratio of the two charges,we get $\frac{Q_1}{Q_2} = \frac{C_1 V}{C_2 V} = \frac{C_1}{C_2}$.Therefore,the final charges on the spheres satisfy the relation $\frac{Q_1}{Q_2} = \frac{C_1}{C_2}$.

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

Easy

Two metal spheres of capacitance $C_1$ and $C_2$ carry some charges. They are put in contact and then separated. The final charges $Q_1$ and $Q_2$ on them will satisfy

A
$\frac{Q_1}{Q_2} < \frac{C_1}{C_2}$
B
$\frac{Q_1}{Q_2} = \frac{C_1}{C_2}$
C
$\frac{Q_1}{Q_2} > \frac{C_1}{C_2}$
D
$\frac{Q_1}{Q_2} < \frac{C_2}{C_1}$

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Class 12

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Electric Potential and Capacitance

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Sharing of Charge in Capacitor Circuit

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 $V$)?

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$A$ condenser of capacity $C_1$ is charged to a potential $V_0$. The electrostatic energy stored in it is $U_0$. It is connected to another uncharged condenser of capacity $C_2$ in parallel. The energy dissipated in the process is

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Energy $E$ is stored in a parallel plate capacitor $C_1$. An identical uncharged capacitor $C_2$ is connected to it,kept in contact with it for a while,and then disconnected. The energy stored in $C_2$ is

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$A$ capacitor of capacitance $6\ \mu F$ is charged to $100\, V$. It is then connected to another uncharged capacitor of capacitance $14\ \mu F$. Find the ratio of charges on the $6\ \mu F$ and $14\ \mu F$ capacitors and the potential across the $6\ \mu F$ capacitor.

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Two capacitors $C_1$ and $C_2 = 2C_1$ are connected in a circuit with a switch between them as shown in the figure. Initially,the switch is open and $C_1$ holds charge $Q$. The switch is closed. At steady state,the charge on the capacitors will be:

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Two metal spheres of capacitance $C_1$ and $C_2$ carry some charges. They are put in contact and then separated. The final charges $Q_1$ and $Q_2$ on them will satisfy

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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 $V$)?

$A$ condenser of capacity $C_1$ is charged to a potential $V_0$. The electrostatic energy stored in it is $U_0$. It is connected to another uncharged condenser of capacity $C_2$ in parallel. The energy dissipated in the process is

Energy $E$ is stored in a parallel plate capacitor $C_1$. An identical uncharged capacitor $C_2$ is connected to it,kept in contact with it for a while,and then disconnected. The energy stored in $C_2$ is

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Two capacitors $C_1$ and $C_2 = 2C_1$ are connected in a circuit with a switch between them as shown in the figure. Initially,the switch is open and $C_1$ holds charge $Q$. The switch is closed. At steady state,the charge on the capacitors will be:

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