Aman Bansal
Last Activity: 14 Years ago
DEAR GOPALAM VANAPALLI,
IN CASE OF PARALLEL COMBINATION OF CAPACITANCES,
Ceq = e0Aeq/d = e0(A1+A2)/d = e0A1/d + e0A2/d = C1 + C2
Thus, Ceq = C1 + C2.
WHEREAS IN SERIES COMBINATION ,
The quantity that adds is the voltage across each capacitor
DV = DV1 + DV2
The voltage across the capacitors is related to their charge
DV1 = Q/C1 and DV2 = Q/C2
The definition of the equivalent capacitance is Ceq = Q/DV, or DV = Q/Ceq. Therefore
Q/Ceq = Q/C1 + Q/C2
We can divide out the common factor of Q to arrive at
1/Ceq = 1/C1 + 1/C2
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