First slide

Inductance

Question

In the circuit shown, switch is connected to position 1 for a very long time. What is maximum current through inductor when switch is taken to position 2?

Moderate

A

1.5 A
B

3 A
C

1 A
D

6 A

Solution

$\frac{1}{2} {CV}^{2} = \frac{1}{2} {LI}^{2} I = V \sqrt{\frac{C}{L}} = 6 \sqrt{\frac{50 x 10^{- 6}}{8 x 10^{- 4}}} = 1.5 A$

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