7.3 A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.

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Payal Gupta | Contributor-Level 10

8 months ago

7.3 Inductance of the Inductor, L = 44 mH = 44 $* 10^{- 3}$ H

Supply voltage, V = 220 V

Supply frequency, $ν$ = 50 Hz

Angular frequency, $ω$ = 2 $π ν$

Inductive reactance, $X_{L}$ = $ω L$ = 2 $π ν L$

rms value of current is given as

I = $\frac{V}{X_{L}}$ = $\frac{220}{2 π * 50 * 44 * 10^{- 3}}$ = 15.92 A

Hence, the rms value of the current in the circuit is 15.92 A.

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