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Match List-I with List-II for the equivalent capacitance of different arrangements of three identical capacitors, each of capacitance C . List-I List-II (A) Three capacitors connected in series (I) 3C (B) Three capacitors connected in parallel (II) C 3 (C) Two capacitors in series, connected in parallel with the third (III) 2C 3 (D) Two capacitors in parallel, connected in series with the third (IV) 3C 2 Choose the c

Options

  1. A(A) (I), (B) (II), (C) (III), (D) (IV)
  2. B(A) (II), (B) (I), (C) (III), (D) (IV)
  3. C(A) (II), (B) (IV), (C) (I), (D) (III)
  4. D(A) (II), (B) (I), (C) (IV), (D) (III)

Correct answer

D. (A) (II), (B) (I), (C) (IV), (D) (III)

Step-by-step solution

(A) For three identical capacitors in series, the equivalent capacitance C_s is given by: 1 C_s = 1 C + 1 C + 1 C = 3 C C_s = C 3 (B) For three identical capacitors in parallel, the equivalent capacitance C_p is: C_p = C + C + C = 3C (C) For two capacitors in series, their equivalent is C 2 . When connected in parallel with the third capacitor, the total equivalent capacitance is: C_ eq = C 2 + C = 3C 2 (D) For two capacitors in parallel, their equivalent is 2C . When connected in series with the third capacitor, t

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