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Q#1 Sinusoidal Steady State Analysis GATE EE 2005 MCQ +2 marks -0.66 marks

The RL circuit of Figure is fed from a constant magnitude, variable frequency sinusoidal voltage source . At 100 Hz, the R and L elements each have a voltage drop . If the frequency of the source is changed to 50 Hz, the new voltage drop across R is:

Q31.jpg

Explanation:

Let inductive reactance at 100Hz is

Since voltage drop across R & L is equal at 100Hz

Magnitude

RMS voltage across

Now at 50Hz

Inductive reactance=        

Current at 50Hz

RMS voltage drop across R at 50Hz=

Now from equation (4) & (2)

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