Respuesta :

The current passing through the inductor is 3.8 A. The correct option is D. 3.8 A

Energy stored in a magnetic field

From the question, we are to determine the current passing through the inductor.

From the formula, for the energy stored in a magnetic field

E = 1/2LI²

Where E is the energy

L is the inductance

and I is the current

From the given information,

E = 3.6 J

L = 0.50 H

Putting the parameters into the formula, we get

3.6 = 1/2 × 0.50 × I²

3.6 = 0.25 × I²

I² = 3.6 ÷ 0.25

I² = 14.4

I = √14.4

I = 3.7947

I ≅ 3.8 A

Hence, the current passing through the inductor is 3.8 A. The correct option is D. 3.8 A

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