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Question: If the switch remains closed for a long time and then is opened at t = 0 then which option in List-I...

If the switch remains closed for a long time and then is opened at t = 0 then which option in List-I is matched correctly with List-II at that instant ?

A

6V7\frac{6V}{7}

B

3V2\frac{3V}{2}

C

V4R\frac{V}{4R}

D

VR\frac{V}{R}

E

Zero

F

LV232R2\frac{LV^2}{32R^2}

Answer

3V2\frac{3V}{2}

Explanation

Solution

The correct matches are:

  • (I) Current in inductor: V4R\frac{V}{4R}

  • (II) Voltage across inductor: Magnitude is 3V2\frac{3V}{2}

  • (III) Current supplied by battery: Zero

  • (IV) Energy stored in the inductor: LV232R2\frac{LV^2}{32R^2}

Therefore, the correct match is (II) Voltage across inductor: Magnitude is 3V2\frac{3V}{2}.