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if the current through an inductor increases from
Question:
If the current through an inductor increases from 2 A to 3 A, the magnetic energy stored in the inductor increases by
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The magnetic energy stored in an inductor depends on the square of the current.
AP EAMCET - 2024
AP EAMCET
Updated On:
Mar 19, 2025
125%
225%
50%
75%
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The Correct Option is
A
Solution and Explanation
The energy stored in an inductor is given by: \[ U = \frac{1}{2} L I^2 \] Initial energy: \[ U_1 = \frac{1}{2} L (2^2) = 2L \] Final energy: \[ U_2 = \frac{1}{2} L (3^2) = 4.5L \] Percentage increase: \[ \frac{U_2 - U_1}{U_1} \times 100 = \frac{4.5L - 2L}{2L} \times 100 \] \[ = \frac{2.5}{2} \times 100 = 125\% \] Thus, the correct answer is 125\%.
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