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Q.

Consider a network of resistances each of value of R as shown in figure

Question Image
Column - IColumn – II
Equivalent of network between A and C isp) same
Equivalent resistance between A and Bq) 5/8R
Potentials of B and D when voltage source is applied across A and C isr) R
Equivalent resistance between B and D iss)R/2

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a

a - s, b - p, c - r, d - q

b

a - r, b - q, c - p, d - s

c

a - p, b - s, c - q, d - r

d

a - q, b - r, c - s, d - p

answer is A.

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Detailed Solution

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Question Image

 

 

Across AC , it is a wheatstone bridge , hence net resistance = R 

Across AB ,{ [(Q and Y are in series ) which is parallel to Z ]which is in series with X } which is in series with P : hence net resistance = 5R/8

Potentials of B and D are same when source is connected across AC , since wheatstone bridge condition is satisfied . 

Across BD , [(P and X in series ),(Q and Y in series ) ]parallel to Z , hence net resistance = R/2 

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