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Q#1
Sinusoidal Steady State Analysis
GATE EE 2014
MCQ
+2 marks
-0.66 marks
A series RLC circuit is observed at two frequencies. At 
, we note that source voltage 
results in a current 
. At 
, the source voltage 
results in a current 
. The closest values for R, L, C out of the following options are
Explanation:
Given, 
and 
Since both the current & voltage are in phase, it is resonance condition. Under resonance condition,
Net Impedance, Z = R
R =
= 50 Ω
Resonance frequency, 
= 
-----------(1)
At = 1krad/s, current is leading by an angle of 31°
So, net impedance is capacitive.
= 0.6
= 50 × 0.6 = 30
From (1)
Since, 
C = 25 μF
From (1), L = 10mH
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