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  •  Find the equivalent resistance between A and B <img src="data:image/png;base64,iVBO

 Find the equivalent resistance between A and B

Option: 1

\frac{8R}{3}


Option: 2

\frac{2R}{3}


Option: 3

\frac{R}{3}


Option: 4

\frac{5R}{3}


Answers (1)

best_answer

Calculation of Resistance by Symmetry -

Calculation of Resistance by Symmetry 

Resistance by Symmetry:

Vertical Plane of symmetry:

1. Points on vertical plane of symmetry have same potential

2. Branches which are mirror image about vertical plane of symmetry have same current

Horizontal plane of symmetry: Points which are mirror image about horizontal plane of symmetry have same potential.

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Due to symmetry along plane CA and potential at O and A are same. Therefore the potential difference between O and A is zero. So we can eliminate the resistance between O and A. Now simplifying the circuit the net resistance between A and B equals 2R/3

Posted by

vishal kumar

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