GATE EE 2020 Set 1 — Question 42
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Electric Circuits → Network Elements & Sources → Maximum Power Transfer
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Question
A benchtop dc power supply acts as an ideal A current source as long as its terminal voltage is below V. Beyond this point, it begins to behave as an ideal V voltage source for all load currents going down to A. When connected to an ideal rheostat, find the load resistance value at which maximum power is transferred, and the corresponding load voltage and current.
Correct answer
(C) 2.5 Ω, 4 A, 10 V
Solution
The power supply has two regions of operation:
The load resistance at this point is .
Thus, the values are , A, and V.
1.Current source region: A for V. Power . Maximum power in this region is at V (limit), W.
2.Voltage source region: V for A. Power . Maximum power in this region is at A (limit), W.
The maximum power of W occurs at the transition point where V and A.The load resistance at this point is .
Thus, the values are , A, and V.
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