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An electric motor has an effective resistance of 29. 4 ω and an inductive reactance of 42. 6 ω. When working under load. the rms voltage across the alternating source is 442 v. The rms current will be 8.54 A
AC stands for “Alternating Current,” meaning voltage or current that changes polarity or direction, respectively, over time. AC electromechanical generators, known as alternators, are of simpler construction than DC electromechanical generators.
RMS or root mean square current/voltage of the alternating current/voltage represents the D.C current/voltage that dissipates the same amount of power as the average power dissipated by the alternating current/voltage. For sinusoidal oscillations, the RMS value equals peak value divided by the square root of 2.
I (RMS) = RMS voltage / [tex]\sqrt{R^{2}+ X_{L} { ^{2} }[/tex]
= 442 / [tex]\sqrt{29.4^{2} + 42.6^{2} }[/tex]
= 442 / [tex]\sqrt{864.36 + 1814.76}[/tex]
= 442 / [tex]\sqrt{2679.12}[/tex]
= 8.54 A
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