Question

Four identical capacitors, each of capacitance ??0, are going to be connected to a power supply of voltage ??? as part of a circuit; no other objects will be part of the circuit.

(a) Draw the circuit diagram corresponding to the scenario where each capacitor receives the maximum possible voltage from the power supply.

(b) Draw the circuit diagram corresponding to the scenario where each capacitor receives the minimum possible (but non-zero) voltage from the power supply.

(c) Draw the circuit diagram corresponding to the scenario where the equivalent capacitance is equal to ??0.

Answer 1

A.

Max possible voltage in each capacitor will be when each of them receives voltage of dV, and we know that in parallel circuit Voltage in each capacitor is equal to total voltage

Circuit will be

B.

Similarly minimum possible voltage will be when all capacitors are connected in series,

Circuit will be

C.

Circuit will be

In all case each capacitor has capacitance of C0 and power supply of Voltage dV

In part C

C0 and C0 are in series, So

Cp1 = C0*C0/(C0 + C0) = C0/2

Similarly

Cp2 = C0/2

Now Cp1and Cp2 are in parallel, So

Ceq = C0/2 + C0/2 = C0

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