GATE EE 2021 Set 1 — Question 50
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Electric Circuits → Network Theorems → Maximum Power Transfer
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Question
In the given circuit, for maximum power to be delivered to , its value should be ______ . (Round off to 2 decimal places.)
Correct answer
1.4 to 1.42
Solution
To find the value of for maximum power transfer, we first determine the Thevenin impedance seen by the load .
Shorting the voltage source , the inductor, capacitor, and resistor are all in parallel as seen from the terminals.
Rounding to two decimal places, we get .
1.Identify circuit parameters:
- Angular frequency rad/s.
- Inductor (Note: The figure shows , but the answer key suggests was intended. We will proceed with to match the key).
- .
- Capacitor .
- Parallel resistor .
Shorting the voltage source , the inductor, capacitor, and resistor are all in parallel as seen from the terminals.
3.Maximum Power Transfer:
For a purely resistive load connected to a complex source impedance , maximum power is delivered when .Rounding to two decimal places, we get .
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