1.

P,Q R and S four resistance wires of resistance 1,2,3 and 4 ohm respectivily. They are connected in form the four arms of Wheatstone bridge circuit. Find out the resistance with whichS meat be shunted in order the bridge may be balanced

Answer»


SOLUTION :For balance wheastonebridge `(P)/(Q) =(R )/(S) `
Here `P = 3 OmegaQ = 3 Omega , R = 3 Omega `
`:. (3)/(3) = (3)/(S) ORS =3 Omega `
Therefore the resistance of `4 Omega ` must be shunted with a resistance `x`so that the conbination resistance of `4 Omega` and `x` is equal to `3 Omega ` so
`(1)/(x )+(1)/(4) + (1)/(3) or (1)/(x) = (1)/(4) - (1)/(12) or x = 12 Omega `


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