In a metre bridge experiment the balance point is obtained if the gaps are closed by 2 Ω and 3 Ω. A shunt of X Ω is added to 3 Ω resistor to shift the balancing point by 22.5 cm. The value of X i s ____.

Question

G1 Physics · Accepted Answer

Initially, 2/3 = 40/60. After shunting the 3 Ω resistor, the balance point shifts to 62.5 cm, so 2/[3X/(3+X)] = 62.5/37.5 = 5/3. Solving gives X = 2 Ω.