When the value of R in the balanced Nheatstone bridge, shown in the figure, is increased from 5Ω to 7Ω , the value of shas to increased by 3Ω in order to maintain the palance. What is the initial valu

Question

When the value of R in the balanced Nheatstone bridge, shown in the figure, is increased from 5Ω to 7Ω , the value of shas to increased by 3Ω in order to maintain the palance. What is the initial values of S ?

TestHub · Accepted Answer

According to the balanced condition of Wheatstone bridge. In the first case, Q P ​ = S R ​ Q P ​ = S 5 ​ .... ( i ) ​ In the second case Q P ​ = S + 3 7 ​ .... ( ii ) From Eqs. (i) and (ii), we get S 5 ​ 5 ( S + 3 ) 5 S + 15 2 S S ​ = S + 3 7 ​ = 7 S = 7 S = 15 = 7.5Ω ​

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