An ac circuit consists of a series combination of circuit elements X and Y. The current is ahead of the voltage in phase by \frac{\pi }{4} . If element X is a pure resistor of 100\; \Omega,

(a) name the circuit element Y.

(b) calculate the rms value of current, if rms value of voltage is 141 V.

(c) what will happen if the ac source is replaced by a dc source?

 

 

Answers (1)
S safeer

a) Current is leading the voltage by an angle of 45 degrees. So it is an RC series circuit. Therefore the element Y is a capacitor.

b)

 Z=\frac{R}{cos\phi}=100\sqrt{2}

I_{rms}=\frac{141}{100\sqrt{2}}=0.997A

c) The current in the circuit will become zero 

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