GATE EE 2026 Set 1 — Question 60
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Electric Circuits → Network Theorems → Maximum Power Transfer
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Question
Consider the two-port network shown. For maximum power transfer to the resistive load (), the value of should be__________
(Round off to two decimal places)
(Round off to two decimal places)
Correct answer
2.81 to 2.91
Solution
To achieve maximum power transfer to the resistive load , the load resistance must be equal to the Thevenin resistance () of the network as seen from the load terminals.Step 1: Deactivate independent sources.
Replace the independent voltage source with a short circuit.Step 2: Analyze the simplified network.
Replace the independent voltage source with a short circuit.Step 2: Analyze the simplified network.
- When the source is short-circuited, the resistor is in parallel with a short circuit, effectively removing it from the circuit analysis for .
- The remaining network consists of the resistor and the resistor connected in parallel with respect to the load terminals.
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