# Problem: If the current in an inductor is doubled, by what factor is the stored energy multiplied?a. 1b. 1/2c. 1/4d. 2e. 4

###### FREE Expert Solution

Energy stored in the inductor:

$\overline{){\mathbf{U}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{L}}{{\mathbf{i}}}^{{\mathbf{2}}}}$

From the equation, U is directly proportional to i2

U2/U1 = (i2/i1)2

If the current is doubled:

i2 = 2i1

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###### Problem Details

If the current in an inductor is doubled, by what factor is the stored energy multiplied?
a. 1
b. 1/2
c. 1/4
d. 2
e. 4