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For the 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 $V_{1} a n d V_{2}$ are same then

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

$f = 125 H z$

current through R is 2A

$f = 250 π H z$

answer is A, C, D.

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Detailed Solution

At resonance
$V_{1} = V_{2}; X_{L} = X_{C}$
$n = \frac{1}{2 π \sqrt{L C}} = 125 H z$
$V_{1} = i X_{L} = i w L$

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