A series LCR circuit is subjected to an ac signal of 200 V, 50 Hz. If the voltage across the inductor (L = 10 mH) is 31.4 V, then the current in this circuit is

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Solution

Q.
A series LCR circuit is subjected to an ac signal of 200 V, 50 Hz. If the voltage across the inductor (L = 10 mH) is 31.4 V, then the current in this circuit is [2024]

1 68 A

2 63 A

3 10 A

4 10 mA

Ans.
(3)

Voltage across inductor $V_{L} = I X_{L}$

$31.4 = I [L ω]$

$31.4 = I [L (2 π f)]$

$31.4 = I [10 \times 10^{- 3} (2 \times 3.14) \times 50] \Rightarrow I = 10 A$

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