Derive an expression for resultant capacitance when three capacitors of capacitances C1, C2 and C3
are connected (i) in Series
(ii) in Parallel
Answers
Answer:
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Answer:
Consider that three capacitors having capacitance C 1 ,C 2
and C3 are connected in series to each other shown in the figure above,
Consider that +q charge is given to first plat of first capacitor. By induction a charge (−q) will produce at internal surface of second plate of this capacitor and so on.
Consider that potential between the plates of capacitor are C1 ,C2 and C 3 respectively so,
v1 = q/c1 + q/c2 + q/c3
now, v = v1 + v2 + v3
hence v = q/c1 + q/c2 + q/c3 ...... (i)
If equivalent capacitance of combination of capacitors is C then
v= q/c ....... (ii)
By equations (i) and (ii), we get
q/c = q/c1 + q/c2 + q/c3
1/c = 1/c1 + 1/c2 + 1/c3