(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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Electric Potential and Capacitance

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Mix Examples - Electric Potential and Capacitance

Statement $(A)$: Inside a charged hollow metal sphere,$E = 0$ and $V \neq 0$. ($E$ = electric field,$V$ = electric potential).
Statement $(B)$: The work done in moving a positive charge on an equipotential surface is zero.
Statement $(C)$: When two like charges are brought closer,their mutual electrostatic potential energy will increase.

EasyAP EAMCET 2022

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The escape speed of an electron launched from the surface of a glass sphere of diameter $1 \ cm$ that has been charged to $10 \ nC$ is $x \times 10^7 \ m/s$. The value of $x$ is:

Medium

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Five capacitors of capacitances $C_1 = C_2 = C_3 = C_4 = 10 \mu F$ and $C_5 = 2.5 \mu F$ are connected as shown,along with a battery of $50 \ V$. Find the equivalent capacitance and the charge on the capacitors.

DifficultNEET 2026

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For what value of $C$ in $\mu F$ in the given figure,the equivalent capacitance between $A$ and $B$ becomes independent of the number of repeating sections?

Medium

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$A$ $4\ \mu F$ capacitor is charged to $80\ V$ and a $6\ \mu F$ capacitor is charged to $30\ V$. When they are connected together,the energy lost by the $4\ \mu F$ capacitor is ..... $mJ$.

Medium

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The escape speed of an electron launched from the surface of a glass sphere of diameter $1 \ cm$ that has been charged to $10 \ nC$ is $x \times 10^7 \ m/s$. The value of $x$ is:

Five capacitors of capacitances $C_1 = C_2 = C_3 = C_4 = 10 \mu F$ and $C_5 = 2.5 \mu F$ are connected as shown,along with a battery of $50 \ V$. Find the equivalent capacitance and the charge on the capacitors.

For what value of $C$ in $\mu F$ in the given figure,the equivalent capacitance between $A$ and $B$ becomes independent of the number of repeating sections?

$A$ $4\ \mu F$ capacitor is charged to $80\ V$ and a $6\ \mu F$ capacitor is charged to $30\ V$. When they are connected together,the energy lost by the $4\ \mu F$ capacitor is ..... $mJ$.

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