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Resistance between point A and B
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Asked by Prashant DIGHE | 22 Jul, 2019, 15:58: PM
answered-by-expert Expert Answer
 
Let at A, potential be x V  and at B potential be 0 V.
 
Potential at R = x (25/30) V  = x (5/6) V ;   Potential at S = x (50/60) V = x (5/6)V  ; Point A and B are same potential
Potential at M = x (15/30) V  = x (1/2) V ;   Potential at N = x (30/60) V = x (1/2)V  ; Point C and D are same potential
 
Since R and S are same potential, there will not be any current flow through 10Ω resistor between R and S,
hence it can be removed to calculate effective resistance
 
Since M and N are same potential, there will not be any current flow through 10Ω resistor between M and N,
hence it can be removed to calculate effective resistance
 
 
Hence after removing those unwanted resistors, we see from above figure,
we have two equivalent resistances 30 Ω and 60Ω which are connected in parallel bewteen A and B.
 
Hence effective resistance between A and B = (30×60)/(30+60) = 20Ω .
Answered by Thiyagarajan K | 22 Jul, 2019, 21:08: PM

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