A 50 galvanometer is shunted by a resistance of S . If 8% of total current passes through the galvanometer, the value of S is:

Step-by-step solution

Let the total current in the circuit be I . The current passing through the galvanometer is I_g = 8 % of I = 0.08 I . The current passing through the shunt is I_s = I - I_g = I - 0.08 I = 0.92 I . Since the galvanometer and the shunt are connected in parallel, the potential difference across them is equal: I_g G = I_s S Substituting the given values, G = 50 : 0.08 I 50 = 0.92 I S 4 = 0.92 S S = 4 0.92 = 400 92 = 100 23 4.35 Answer: 4.35