(D) Given: $C_1 = 3 \ \mu F$,$C_2 = 6 \ \mu F$,$V_1 = 12 \ V$,$V_2 = 12 \ V$.Since the capacitors are connected in parallel with their positive plates

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(D) Given: $C_1 = 3 \ \mu F$,$C_2 = 6 \ \mu F$,$V_1 = 12 \ V$,$V_2 = 12 \ V$.Since the capacitors are connected in parallel with their positive plates together and negative plates together,the common potential $V_{CM}$ is given by the formula:$V_{CM} = \frac{C_1 V_1 + C_2 V_2}{C_1 + C_2}$Substituting the values:$V_{CM} = \frac{(3 \ \mu F \times 12 \ V) + (6 \ \mu F \times 12 \ V)}{3 \ \mu F + 6 \ \mu F}$$V_{CM} = \frac{36 + 72}{9} = \frac{108}{9} = 12 \ V$.Thus,the potential difference across each capacitor remains $12 \ V$.

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

Medium

Two capacitors of capacitance $3 \ \mu F$ and $6 \ \mu F$ are charged to a potential of $12 \ V$. They are then connected by joining their positive plates together and their negative plates together. What will be the potential difference across each capacitor in $V$?

A
$3$
B
$0$
C
$6$
D
$12$

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Electric Potential and Capacitance

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Sharing of Charge in Capacitor Circuit

Two spheres $A$ and $B$ of radius $4\,cm$ and $6\,cm$ are given charges of $80\,\mu C$ and $40\,\mu C$ respectively. If they are connected by a fine wire,the amount of charge flowing from one to the other is

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Consider two uncharged capacitors of equal capacitance $200 \text{ pF}$. One of them is charged by a $100 \text{ V}$ supply and disconnected. Now, this capacitor is connected to the uncharged capacitor. The amount of electrostatic energy lost in the process is:

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Two capacitors of capacitance $3 \ \mu F$ and $6 \ \mu F$ are charged to a potential of $12 \ V$. They are then connected by joining their positive plates together and their negative plates together. What will be the potential difference across each capacitor in $V$?

Similar Questions

Two spheres $A$ and $B$ of radius $4\,cm$ and $6\,cm$ are given charges of $80\,\mu C$ and $40\,\mu C$ respectively. If they are connected by a fine wire,the amount of charge flowing from one to the other is

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