A coil stores energy E = 1/2 L I^2. If L = 0.5 H and I = 4 A, what is E?

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Multiple Choice

A coil stores energy E = 1/2 L I^2. If L = 0.5 H and I = 4 A, what is E?

Explanation:
The energy stored in an inductor depends on both its inductance and the current, described by E = 1/2 L I^2. Plug in the numbers: I^2 = 4^2 = 16, so L I^2 = 0.5 × 16 = 8. Then E = 1/2 × 8 = 4 joules. So the energy is 4 J. The other numeric options would require a different value for L I^2 than what we have here. The energy grows with the square of the current, so with the given values you get 4 J.

The energy stored in an inductor depends on both its inductance and the current, described by E = 1/2 L I^2.

Plug in the numbers: I^2 = 4^2 = 16, so L I^2 = 0.5 × 16 = 8. Then E = 1/2 × 8 = 4 joules.

So the energy is 4 J. The other numeric options would require a different value for L I^2 than what we have here. The energy grows with the square of the current, so with the given values you get 4 J.

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