GATE Electrical Engineering (EE) 2020 Solved Paper

Question : 62 of 65

Marks: +1, -0

A benchtop dc power supply acts as an ideal 4 A current source as long as its terminal voltage is below

10 {V}

. Beyond this point, it begins to behave as an ideal

10 {V}

voltage source for all load currents going down to 0 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.

$2.5 Ω, 4 {A}, 10 {V}$
$2.5 Ω, 4 {A}, 5 {V}$
Open, $4 {A}, 0 {V}$
Short, $∞$ A, $10 {V}$

Validate

Solution:

V – I Characteristic of D.C. supply

{R}=\;{ {V}}/{ {I}}=\;{10}/{4}=2.5 Ω

R>2.5 Ω, I<4 A

{R}<2.5 Ω, {V}<10

volt
Load Resistance for maximum power transferred

R_{⟂}=2.5 Ω

Corresponding load voltage

V_{0}=I R=4 × 2.5=10

Volt
Corresponding load current

I_{0}=4 {A}

{R}_{ {L}}=2.5 Ω, {I}_{ {o}}=4 {A}, {V}_{ {o}}=10

volt.

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