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NEETPhysicsElectromagnetic Induction

Match List-I with List-II regarding the equivalent induced emf across different configurations of identical ideal inductors (each of inductance L ) when a total time-varying current I(t) enters the combination. Neglect mutual inductance. List-I (Configuration) List-II (Induced emf) (A) Two inductors in series (I) 1 2 L dI dt (B) Two inductors in parallel (II) 2 L dI dt (C) Three inductors in parallel (III) 3 2 L dI d

Options

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

Correct answer

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

Step-by-step solution

The induced emf across an equivalent inductance L_ eq is given by E = L_ eq dI dt . (A) For two inductors in series, L_ eq = L + L = 2L . Induced emf = 2L dI dt . (Matches with II) (B) For two inductors in parallel, L_ eq = L L L + L = L 2 . Induced emf = 1 2 L dI dt . (Matches with I) (C) For three inductors in parallel, 1 L_ eq = 1 L + 1 L + 1 L = 3 L L_ eq = L 3 . Induced emf = 1 3 L dI dt . (Matches with IV) (D) For two inductors in parallel connected in series with a third, L_ eq = L 2 + L = 3L 2 . Induced emf

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