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MHT CET 2024 (2 May, Shift 2) · Pure R, L and C Circuits

Pure R, L and C Circuits question from MHT CET 2024 (2 May, Shift 2)

Q30MHT CET 2024 · 2 MAY · SHIFT 2Medium

Pure R, L and C Circuits

The magnetic energy in an inductor changes from maximum value to minimum value in 5 ms. When connected to an a.c. source, the frequency of the source is

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Answer: (a)

Magnetic energy $U = \frac{1}{2}LI^2$ goes from maximum ( $I = I_0$ ) to zero ( $I = 0$ ) in a quarter period.
$\frac{T}{4} = 5$ ms $\Rightarrow T = 20$ ms
$f = \frac{1}{T} = \frac{1}{0.02} = 50$ Hz
So the answer is (a) 50 Hz.

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