In Figure shown $R = 100 Ω, L = \frac{2}{π} H a n d C = \frac{8}{π} μ F$ are connected in series with an ac source of 200V and frequency $f . V_{1} a n d V_{2}$ are two hot-wire voltmeters. If the readings of $V_{1}$ and $V_{2}$ are same, then

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f=250 Hz

f =125Hz

$V_{1} = V_{2} = 1000 V$

Current through R is 2A

answer is A, C, D.

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Detailed Solution

$V_{1} = V_{2} \Rightarrow X L = X C \Rightarrow F = \frac{1}{2 Π \sqrt{L C}} = 125 H z$

$I_{r m s} = \frac{V}{R} = \frac{200}{100} = 2 A (∵ Z = R)$

$V_{1} = V_{2} = I X L = L (ϖ L) = 1000 v o l t$

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