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Question

Consider the circuit shown in th figure.
https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1159734/original_35.png
The Thevenin equivalent resistance (in Ω) across P-Q is


  1. -1

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Solution

The correct option is A -1
  • The equivalent circuit to calculate the Thevenin equivalent resistance (RTh) is as follows:

https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1159737/original_35.1.png

  • It can be further reduced as follows:

https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1159740/original_35.2.pnghttps://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1159743/original_35.3.png

  • By applying KVL in the loop L,

Vx=3i0 + (1 - i0) = 2i0+1

Also, Vx = i0(1Ω)

  • So, 2i0+1=i0

i0=1A

And Vx=1V

So, RTh=Vx1A=1Ω


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