A 1 μ F capacitor is charged to 50 V potential difference and then discharged through a 10 mH inductor of negligible resistance. The maximum current in the inductor will be

Question

A 1 μ F capacitor is charged to 50 V potential difference and then discharged through a 10 mH inductor of negligible resistance. The maximum current in the inductor will be (A) 0.5 A (B) 1.6 A (C) 0.16 A (D) 1.0 A

Tardigrade Admin · Accepted Answer

When a charged capacitor is allowed to discharge through a resistance inductor electrical oscillations of constant amplitude are produced in the circuit. These are called

L - C

oscillations.

The energy stored in charged capacitor is

U = \frac{1}{2} C V^{2} = \frac{1}{2} L i^{2}

where,

i

is current in the circuit and

V

the potential difference.

∴ i = \frac{C}{L} V

Given,

C = 1 μ F = 1 \times 1 0^{- 6} F

,

L = 10 m H = 10 \times 1 0^{- 3} H

∴ = 50 V

∴ i = \frac{1 \times 1 0 ^{- 6}}{10 \times 1 0 ^{- 3}} \times 50 = 0.5 A

Q. A 1μF capacitor is charged to 50V potential difference and then discharged through a 10mH inductor of negligible resistance. The maximum current in the inductor will be

0.5 A

1.6 A

0.16 A

1.0 A

Q. A $1 μ F$ capacitor is charged to $50 V$ potential difference and then discharged through a $10 m H$ inductor of negligible resistance. The maximum current in the inductor will be