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Question: Figure shows a circuit in which two inductors of 3 H and 6 H are connected in parallel. These are ...

Figure shows a circuit in which two inductors of
3 H and 6 H are connected in parallel. These are connected to a 18 volt battery with 2 W resistance. Switch S is closed at t = 0. Current as a function of time in the battery is–

A

9 (1 – e–t/3) A

B

9 (1 – e–t/6) A

C

9 (1 – e–t/9) A

D

None of these

Answer

None of these

Explanation

Solution

L = 2H

R = 2W

E = 18 V

I = ER\frac { E } { R } (1eRLt)\left( 1 - e^{- \frac{R}{L}t} \right)

I = 9 (1 – e–t)