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Question

Deduce an expression for equivalent capacitance C when three capacitors C1, C2 and C3 are connected in parallel.

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Solution

Let the three capacitance connected in parallel be C1, C2 and C3 and supply voltage be V.
Let the equivalent capacitance of the combination be Ceq
Charge on a capacitor is given by Q=CV
Since all the capacitors are connected in parallel, so voltage across each capacitor is V.
Thus charge on C1, Q1=C1V
Charge on C2, Q2=C2V
Charge on C3, Q3=C3V
Charge on equivalent capacitance Qeq=CeqV
Now Qeq=Q1+Q2+Q3
CeqV=C1V+C2V+C3V
Ceq=C1+C2+C3
783554_788680_ans_95de688e6c144f589898fa7888daffbe.png

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