GATE EE 2017 Set 1 — Question 43
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Electric Circuits → Network Theorems → Maximum Power Transfer
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Question
In the circuit shown below, the maximum power transferred to the resistor R is ________ W.
Correct answer
3 to 3.1
Solution
To find the maximum power transferred to resistor , we first find the Thevenin equivalent circuit across its terminals.
KCL at A:
KCL at B:
Solving these equations gives V.
The value lies in the range 3.0 to 3.1.
1.Thevenin Resistance (): Turn off all independent sources (5V short, 6V short, 2A open).
.2.Thevenin Voltage (): Calculate the open-circuit voltage across .
Using nodal analysis at the junction of the 5, , and 3 resistors (Node A) and the junction of the 3, 6V, 5, and 2A source (Node B):KCL at A:
KCL at B:
Solving these equations gives V.
3.Maximum Power:
W.The value lies in the range 3.0 to 3.1.
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