GATE Electrical Engineering (EE) 2021 Solved Papers

Question : 40 of 65

Marks: +1, -0

In the given circuit, for maximum power to be delivered to

{R}_{ {L}}

, its value should be _______________

Ω .

(Round off to 2 decimal places.)

Solution:

For purely resistive load

{R}_{ {L}}=| {Z}_{ {Th}}|

For

{Z}_{ {Th}}

{Z}_{ {Th}}=2{||}( {j} 4- {j} 2)=2{||}( {j} 2)=\;{2 × {j} 2}/{2+ {j} 2}=\;{ {j} 2}/{1+ {j} 1} \;{2 ∠ 90^{∘}}/{√{2} ∠ 45^{∘}}=√{2} ∠ 45^{∘}

|Z_{T h}|=√{2} Ω

{R}_{ {L}}=| {Z}_{ {Th}}|=√{2} Ω

{R}_{ {L}}=1.414 Ω

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