Question

50 mH inductor is connected to 200V, 50 Hz ac. supply. Calculate the RMS value of the current in the circuit​

Answer 1

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Answer 2

Given,

L = 50 mH = 50×$10^{-3}$ H

V = 200 V

ν = 50 Hz

To find,

The RMS value of the current in the circuit.

Solution,

We know that the RMS value of current is given as,

$l$ = V/$X_{L}$ (where $X_{L}$ is the inductive reactance) ____ (1)

 $X_{L}$ = ω$L$ = 2πν$L$

now, putting the values already given to us in the above equation we get,

$X_{L}$ = 2π×50×50×$10^{-3}$ Ω _____ (2)

From equations (1) and (2) we get,

⇒$l$ = 200 / 2π×50×50×$10^{-3}$

⇒$l$ = 12.73 A

(This will be the final answer in SI units.)