GATE EC 2016 Set 3 — Question 19
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Network Theory → Transient & AC Analysis → Sinusoidal Steady-State
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Question
In the RLC circuit shown in the figure, the input voltage is given by
.
The output voltage is
.
The output voltage is
Correct answer
(B) 2cos(200t) + 4 sin(500t)
Solution
The circuit is a symmetric lattice network. The parallel LC tanks have resonant frequencies:
rad/s
rad/s
At rad/s, the top parallel LC tank is in resonance (). At rad/s, the bottom parallel LC tank is in resonance ().
For a symmetric lattice with series arms and cross arms , the transfer function is or depending on polarity.
Given the options, the gain at resonance is 1, implying .
rad/s
rad/s
At rad/s, the top parallel LC tank is in resonance (). At rad/s, the bottom parallel LC tank is in resonance ().
For a symmetric lattice with series arms and cross arms , the transfer function is or depending on polarity.
Given the options, the gain at resonance is 1, implying .
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