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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:





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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