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In the circuit shown in the figure all the resistances are identical and each has the value r Omega. The equivalent resistance of the combination between the points A and B will remain unchanged even when the following pairs of points marked in the figure are connected through a resistance R. |
Answer» Solution :Theequivalentresistanceof thecombinationbetweenthe pointsA andB willremains unchangedevenafter conncecting resistance` R,`whencircuitfollowsa conditionof balancedwheatstonebridge ` therefore` for thecircuitto remainatbalancedcondition `(2 r)/( 4 r)implies ( P)/(Q )= (M)/(N)` so newresistanceR canconectedbetweenpointsmarked2 AND6  Againfor thecircuitto remainat balancedcondition`(4r)/(2 r)=( 2r)/( r ) implies(P )/( Q ) =(M )/(N)` So newresistance can beconnectedbetweenpointsmarked4 and 7 . |
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