In Wheatstones network ( P=2 , Q=2 , R=2 ) and ( S=3 ). The resistance with which ( S ) is to shunted in order that the bridge may be balanced is

Step-by-step solution

Given, ( P=2 ; Q=2 ; R=2 ; S=3 ) Balance equation gives [ P Q = R S ] Suppose the resistance ( S ) is shunted with resistance ( X ), then balance equation becomes [ P Q = P ( S X S+X ) ] Substitute the values, we get [ array l 2 2 = 2 ( 3 X 3+X ) 3 X 3+X =2 3 X=2(3+X) 3 X=6+2 X X=6 array ] Therefore, ( S ) is to be shunted with ( 6 ) resistance in order tobalance the bridge