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BITSAT2018PhysicsElectromagnetic InductionActual

Two inductors L 1 and L 2 are connected in parallel and a time varying current flows as shown in figure. The ratio ot current i 1 i 2 at any ime t Is

Options

  1. AL 2 L 1
  2. BL 1 L 2
  3. CL 2 2 L 1 + L 2 2
  4. DL 1 2 L 1 + L 2 2

Correct answer

A. L 2 L 1

Step-by-step solution

As the inductors are in parallel, induced emf across the two inductors is the same, i.e. e 1 = e 2 L 1 d i 1 d t = L 2 d i 2 d t On integrating both sides, we get L 1 ∫ d i 1 d t = L 2 ∫ d i 2 d t L 1 i 1 = L 2 i 2 ⇒ i 1 i 2 = L 2 L 1

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