Which combination of four identical capacitors has the maximum capacit

1.	Which combination of four identical capacitors has the maximum capacitance? Which combination of these capacitors will store minimum energy when a constant p.d. is applied across it ?
Answer» The maximum capacitance of four identical capacitors, each of capacitance C, is obtained for their parallel combination : C_p = 4C. Their series combination has the minimum capacitance. The charge stored in their parallel combination is four times that in their series combination. For the same constant p.d. V, the energy stored in the parallel combination is 1/2 (4Q)V and that in the series combination is 1/2 QV. Thus, the series combination will store minimum energy.

Which combination of four identical capacitors has the maximum capacitance? Which combination of these capacitors will store minimum energy when a constant p.d. is applied across it ?

Answer»

The maximum capacitance of four identical capacitors, each of capacitance C, is obtained for their parallel combination : C_p = 4C.

Their series combination has the minimum capacitance. The charge stored in their parallel combination is four times that in their series combination. For the same constant p.d. V, the energy stored in the parallel combination is 1/2 (4Q)V and that in the series combination is 1/2 QV. Thus, the series combination will store minimum energy.

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Which combination of four identical capacitors has the maximum capacitance? Which combination of these capacitors will store minimum energy when a constant p.d. is applied across it ?

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