A pure resistive circuit element X when connected to an AC supply of peak voltage $$200V$$ gives a peak current of $$5A$$ which is in phase with the voltage. A second circuit element Y, when connected to the same AC supply also gives the same value of peak current but the current lags behind by $$900$$. If the series combination of X and Y is connected to the same supply, the rms value of current is

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Infinity Learn · Accepted Answer

for the first case  $$2005=40$$Ω$$=RIf$$ current lags by $$90o$$  it is an inductive circuit:  $$2005=40$$Ω$$=XLFor$$ series impedance  $$=$$ $$Z=XL2+R2=402irms=2002.402=52A$$

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