1.

A pure resistive circuit element X when connected to an ac supply of peak voltage 400 V gives a peak current of 5 A 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 `90^(@)`. If the series combination of X and Y is connected to the same suply, what will be the rms value of current?A. 2.5AB. 2AC. 1AD. 0A

Answer» Correct Answer - A
For X, current is in phase
`therefore R=(e)/(I)=40Omega`
For Y curret lags by is `90^(@)`
`therefore X_(L)=(e)/(I)=40Omega`
`therefore Z=sqrt(R^(2)+X_(L)^(2))=40sqrt(2)Omega`
`I_(rms)=(e_(rms))/(Z)=2.5A`


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