To light, a W, 100 V lamp is connected, in series with a capacitor of capacitance (50/( x )) F, with 200 V, 50 Hz AC source. The value of x will be _____.

JEE Main 2022 Physics question

To light, a W, 100 V lamp is connected, in series with a capacitor of capacitance , with 200 V, 50 Hz AC source. The value of x will be .

Answer: 3

Solution

Taking the lamp as 50 W, 100 V (as in the printed working): and the rated current is I = 1/2 A. The lamp voltage is 100 V, so the capacitor voltage is = $ =

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Question ID VK-034379