(A) Let the capacitance of each identical capacitor be $C$.When connected in series,the equivalent capacitance $C_s$ is given by $C_s = \frac{C}{2}$.G

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(A) Let the capacitance of each identical capacitor be $C$.When connected in series,the equivalent capacitance $C_s$ is given by $C_s = \frac{C}{2}$.Given $C_s = 3\,\mu F$,so $\frac{C}{2} = 3$,which implies $C = 6\,\mu F$.When connected in parallel,the equivalent capacitance $C_p$ is given by $C_p = C + C = 2C$.Given $C_p = 12\,\mu F$,so $2C = 12$,which implies $C = 6\,\mu F$.Thus,the capacitance of each capacitor is $6\,\mu F$.

Class 12 Physics Electrostatic Potential and Capacitance Equivalent Capacitance of Capacitor connected in Series and Parallel

Medium

When two identical capacitors are in series,they have $3\,\mu F$ capacitance,and when in parallel,they have $12\,\mu F$ capacitance. What is the capacitance of each capacitor in $\mu F$?

A
$6$
B
$3$
C
$12$
D
$9$

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Electrostatic Potential and Capacitance

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Equivalent Capacitance of Capacitor connected in Series and Parallel

The value of equivalent capacitance of the combination shown in the figure,between points $P$ and $Q$ is:

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Three capacitors of capacitance $3\,\mu F$ are connected in a circuit. Then their maximum and minimum capacitances will be

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The minimum number of capacitors of $2\,\mu F$ capacitance each required to obtain a resultant capacitance of $5\,\mu F$ is

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The charge on the capacitor of capacitance $15 \; \mu F$ in the figure given below is $\dots \; \mu C$.

MediumJEE MAIN 2022

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The effective capacitance between points $A$ and $B$ shown in the circuit is

MediumTS EAMCET 2023

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When two identical capacitors are in series,they have $3\,\mu F$ capacitance,and when in parallel,they have $12\,\mu F$ capacitance. What is the capacitance of each capacitor in $\mu F$?

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