GATE EE 2017 Set 2 — Question 30
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Electric Circuits → Network Theorems → Maximum Power Transfer
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Question
In the circuit shown below, the value of capacitor required for maximum power to be transferred to the load is
Correct answer
(D) 10 mF
Solution
From the source, , so rad/s, and the impedance seen looking back from the load terminals is purely resistive:The load (inside the dashed box) is the mH inductor in series with the parallel combination of the resistor and :Maximum power is delivered to the load when , i.e. the real part must equal and the imaginary part must vanish.Real part:Check the imaginary part with F:so the inductive and capacitive reactances cancel exactly, confirming the value.Answer: (D)
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