(B) Initial charge on the first capacitor: $Q_1 = C_1 V = (15\ \mu F) \times 100\ V = 1500\ \mu C$.Initial charge on the second capacitor: $Q_2 = C_2

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(B) Initial charge on the first capacitor: $Q_1 = C_1 V = (15\ \mu F) \times 100\ V = 1500\ \mu C$.Initial charge on the second capacitor: $Q_2 = C_2 V = (1\ \mu F) \times 100\ V = 100\ \mu C$.When the dielectric is removed from the first capacitor,its new capacitance becomes $C_1' = \frac{15\ \mu F}{15} = 1\ \mu F$.When connected in parallel,the total charge $Q_{total} = Q_1 + Q_2 = 1500\ \mu C + 100\ \mu C = 1600\ \mu C$.The equivalent capacitance is $C_{eq} = C_1' + C_2 = 1\ \mu F + 1\ \mu F = 2\ \mu F$.The final voltage $V_{final} = \frac{Q_{total}}{C_{eq}} = \frac{1600\ \mu C}{2\ \mu F} = 800\ V$.

Class 12 Physics Electric Potential and Capacitance Mix Examples - Electric Potential and Capacitance

Difficult

$A$ capacitor has a capacitance of $15\ \mu F$ when filled with a dielectric of constant $K = 15$. Another capacitor has a capacitance of $1\ \mu F$ when filled with air. Both capacitors are charged by a $100\ V$ battery. After removing the battery and the dielectric from the first capacitor,the two capacitors are connected in parallel. What will be the final voltage across them in $V$?

A
$400$
B
$800$
C
$1200$
D
$1600$

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Class 12 Questions

Class 12

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Electric Potential and Capacitance

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Mix Examples - Electric Potential and Capacitance

When two identical capacitors are charged individually to different potentials and then connected in parallel,after disconnecting from the source . . . . . .

MediumAP EAMCET 2020

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The radii of two metallic spheres $P$ and $Q$ are $r_1$ and $r_2$ respectively. They are given the same charge. If $r_1 > r_2$,then on connecting them with a thin wire,the charge will flow

Difficult

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Three concentric conducting spherical shells have radii $r, 2r$ and $3r$ and $Q_1, Q_2$ and $Q_3$ are final charges respectively. The innermost and outermost shells are earthed as shown in the figure. Choose the wrong statement.

Difficult

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The two plates of a parallel plate capacitor are given charges $Q_1$ and $Q_2$. The capacity of the capacitor is $C$. When the switch $(S)$ is closed,mark the correct statement. (Assume both $Q_1$ and $Q_2$ to be positive)

Difficult

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An automobile spring extends by $0.2\ m$ for a load of $5000\ N$. What is the ratio of the potential energy stored in the spring when it is compressed by $0.2\ m$ to the potential energy stored in a $10\ \mu F$ capacitor at a potential difference of $10000\ V$?

Medium

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When two identical capacitors are charged individually to different potentials and then connected in parallel,after disconnecting from the source . . . . . .

The radii of two metallic spheres $P$ and $Q$ are $r_1$ and $r_2$ respectively. They are given the same charge. If $r_1 > r_2$,then on connecting them with a thin wire,the charge will flow

Three concentric conducting spherical shells have radii $r, 2r$ and $3r$ and $Q_1, Q_2$ and $Q_3$ are final charges respectively. The innermost and outermost shells are earthed as shown in the figure. Choose the wrong statement.

The two plates of a parallel plate capacitor are given charges $Q_1$ and $Q_2$. The capacity of the capacitor is $C$. When the switch $(S)$ is closed,mark the correct statement. (Assume both $Q_1$ and $Q_2$ to be positive)

An automobile spring extends by $0.2\ m$ for a load of $5000\ N$. What is the ratio of the potential energy stored in the spring when it is compressed by $0.2\ m$ to the potential energy stored in a $10\ \mu F$ capacitor at a potential difference of $10000\ V$?

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