(D) Initial energy of the first capacitor,$U_i = \frac{1}{2} C_1 V_1^2 = \frac{1}{2} \times 10 \times 10^{-6} \times (100)^2 = 0.05 J$. When connected

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(D) Initial energy of the first capacitor,$U_i = \frac{1}{2} C_1 V_1^2 = \frac{1}{2} \times 10 \times 10^{-6} \times (100)^2 = 0.05 J$. When connected to an uncharged capacitor,the common potential $V$ is given by $V = \frac{C_1 V_1 + C_2 V_2}{C_1 + C_2} = \frac{10 \times 100 + 30 \times 0}{10 + 30} = 25 V$. The final energy of the system is $U_f = \frac{1}{2} (C_1 + C_2) V^2 = \frac{1}{2} \times (40 \times 10^{-6}) \times (25)^2 = 0.0125 J$. The energy lost is $\Delta U = U_i - U_f = 0.05 - 0.0125 = 0.0375 J = 3.75 \times 10^{-2} J$.

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

Medium

$A$ $10 \mu F$ 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

TS EAMCET 2024 All TS EAMCET

A
$5 \times 10^{-2} J$
B
$1.25 \times 10^{-2} J$
C
$2.75 \times 10^{-2} J$
D
$3.75 \times 10^{-2} J$

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Class 12 Questions

Class 12

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Chapter

Electric Potential and Capacitance

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Sharing of Charge in Capacitor Circuit

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TS EAMCET 2024 Paper All TS EAMCET years →

$A$ capacitor of $20\,\mu F$ is charged to $500\,V$ and connected in parallel with another capacitor of $10\,\mu F$ which is charged to $200\,V$. The common potential is.......$V$.

Medium

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Choose the incorrect statement from the following: When two identical capacitors are charged individually to different potentials and connected in parallel to each other after disconnecting them from the source.

Easy

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In the circuit shown in the figure,initially $K_1$ is closed and $K_2$ is open. What are the charges on each capacitor? Then $K_1$ was opened and $K_2$ was closed (order is important),what will be the charge on each capacitor now? [Given: $C = 1 \,\mu F$,$C_1 = 6C$,$C_2 = 3C$,$C_3 = 3C$,$E = 9 \, V$]

Medium

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$A$ $20 \mu F$ capacitor is charged to $5 V$ and isolated. It is then connected in parallel with an uncharged $30 \mu F$ capacitor. The decrease in the energy of the system will be (in $\text{J}$)

EasyAP EAMCET 2001

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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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$A$ $10 \mu F$ 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

Similar Questions

$A$ capacitor of $20\,\mu F$ is charged to $500\,V$ and connected in parallel with another capacitor of $10\,\mu F$ which is charged to $200\,V$. The common potential is.......$V$.

Choose the incorrect statement from the following: When two identical capacitors are charged individually to different potentials and connected in parallel to each other after disconnecting them from the source.

$A$ $20 \mu F$ capacitor is charged to $5 V$ and isolated. It is then connected in parallel with an uncharged $30 \mu F$ capacitor. The decrease in the energy of the system will be (in $\text{J}$)

$A$ 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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