A 42 , mH inductor is connected to a 200 , V, | vedclass

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(A) Given: Inductance $L = 42 \, mH = 42 	imes 10^{-3} \, H$, Voltage $V_{rms} = 200 \, V$, Frequency $f = 50 \, Hz$.First, calculate the inductive r

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$15.15$

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(A) Given: Inductance $L = 42 \, mH = 42 	imes 10^{-3} \, H$, Voltage $V_{rms} = 200 \, V$, Frequency $f = 50 \, Hz$.First, calculate the inductive reactance $X_L$ using the formula $X_L = \omega L = 2 \pi f L$.Substituting the values: $X_L = 2 	imes \frac{22}{7} 	imes 50 	imes 42 	imes 10^{-3} \, \Omega$.$X_L = 2 	imes 22 	imes 50 	imes 6 	imes 10^{-3} \, \Omega = 4400 	imes 6 	imes 10^{-3} \, \Omega = 13.2 \, \Omega$.The r.m.s. current $I_{rms}$ is given by $I_{rms} = \frac{V_{rms}}{X_L}$.$I_{rms} = \frac{200}{13.2} \approx 15.15 \, A$.

$A$ $42 \, mH$ inductor is connected to a $200 \, V, 50 \, Hz$ a.c. supply. The r.m.s. value of current in the circuit will be nearly (Take $\pi = \frac{22}{7}$) (in $ \, A$)

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