Determine the value of R for maximum power transfer and find the value of maximum transfer. - Basic Electrical and Electronics Engineering

Sum

Determine the value of R for maximum power transfer and find the value of maximum transfer.

Solution

(1) Calculation of πππ»
Removing the variable resistor R from the network

Mesh 1 and 2 will form A loop.
Writing current equation for the loop.
πΌ2−πΌ1=4 ………………..(1)
Applying KVL to the loop,
8−πΌ1−5πΌ1−5πΌ2−10=0
−6πΌ1−5πΌ2=2 ………..(2)
From (1) and (2) we get,
πΌ1=−2π΄ and πΌ2=2π΄
Writing πππ» equation,

8−πΌ1−πππ»=0 => 8+2−πππ»=0
πππ=πππ
(2) Calculation of πππ»

Replacing the voltage source by short circuits and current sources by an open circuit
πππ» = 10Ω || 1Ω = 0.91Ω
For maximum power transfer
(3) Calculation of ππππ₯

P_(max)=(V_(TH)^2)/(4R_(TH))=10^2/(4xx0.91)=27.47w

Concept: Maximum Power Transfer Theorem
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2018-2019 (December) CBCGS

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