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The equivalent capacitance of three capacitors of capacitance $C_1, C_2$ and $C_3$ connected in parallel is $12$ units and their product is $C_1 \cdot C_2 \cdot C_3 = 48$. When the capacitors $C_1$ and $C_2$ are connected in parallel,the equivalent capacitance is $6$ units. Then the capacitances are:

What is the effective capacitance between $A$ and $B$ in the following figure in $\mu F$?

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 $\mu F$?

$A$ system of $2$ capacitors of capacitance $2 \mu F$ and $4 \mu F$ is connected in series across a potential difference of $6 \text{ V}$. The electric charge and energy stored in the system are

Three capacitors of capacitances $10 \mu F$,$5 \mu F$,and $20 \mu F$ are connected in series with a $14 \text{ V}$ $DC$ supply. The charge on the $5 \mu F$ capacitor is: (in $\mu C$)

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