Nov. 4, 2019

Grouping of Capacitance:

Grouping of Capacitors

(1) Series grouping

1/Ceq = 1/C1 + 1/C2 + 1/C3

Ceq = (C1-1+ C2-1+ C3-1)-1

      Ceq = C1C2/C1+ C2

V1 =( C2/(C1+ C2)). V

V2 =( C1/(C1+ C2)). V

V' =V/n

(vi) If n identical plates are arranged as shwn below, they constitute (n – 1) capacitors in series. If each capacitor has capacitance ε0Ad then Ceq = ε0A/(n-1)a'

(2) Parallel grouping :

Q = Q1 + Q2 + Q3

(ii) Ceq = Q1 + Q2 + Q3

Q1 = (C1/(C1+ C2)). Q

Q2 = (C2/(C1+ C2)). Q

(v) If n identical capacitors are connected in parallel, then Equivalent capacitance Ceq = nC and Charge on each capacitor Q’ = Q/n

Capacitance C’ = (n -1)C

C = capacitance of a capacitor = ε0A/d

(vii) If Cp is the effective capacity when n identical capacitors are connected in parallel and Cs is their effective capacity when connected in series, then Cp/Cs = n2 .