A 70 mH inductor is connected to a 220 V, 50 | vedclass

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(B) Given: Inductance $L = 70 mH = 70 	imes 10^{-3} H$,Voltage $V_{rms} = 220 V$,Frequency $f = 50 Hz$.Inductive reactance is given by $\chi_{L} = \o

Vedclass · Accepted Answer

$10 A$

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(B) Given: Inductance $L = 70 mH = 70 	imes 10^{-3} H$,Voltage $V_{rms} = 220 V$,Frequency $f = 50 Hz$.Inductive reactance is given by $\chi_{L} = \omega L = 2 \pi f L$.Substituting the values: $\chi_{L} = 2 	imes \pi 	imes 50 	imes 70 	imes 10^{-3} = 7 \pi \Omega$.The rms current is $i_{rms} = \frac{V_{rms}}{\chi_{L}} = \frac{220}{7 \pi} \approx \frac{10}{\pi} A$ (Note: Based on standard textbook values,if $L = 70 mH$,the result is $\frac{220}{7 \pi} A$. However,checking the options,if $L = 70 mH$ and $V = 220 V$,the calculation yields $10 A$ only if $\pi \approx 3.14$ and $L$ was adjusted. Re-evaluating: $i_{rms} = \frac{220}{2 \pi 	imes 50 	imes 70 	imes 10^{-3}} = \frac{220}{7 \pi} \approx 10 A$ is not exact. Given the options,$10 A$ is the intended answer assuming approximation or specific values).

$A$ $70 mH$ inductor is connected to a $220 V, 50 Hz$ $AC$ supply. The rms value of the current in the circuit is:

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