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In LCR oscillation circuit resistance is 10 $Ω$ and inductive reactance at resonance condition is 1 k $Ω$ . After how many oscillation peak value of current will fall to $(\frac{1}{e})$ times maximum value of peak current?

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$\frac{50}{π}$

100

$\frac{100}{π}$

answer is B.

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Detailed Solution

$Q = \frac{x_{L}}{R} = \frac{1000}{10} = 100$

$∴$ After Q number(100) oscillation current will reduce to 1/ e times

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