Question

In the figure shown for which values of R₁ and R₂ the balance point for Jockey is at 40 cm from A. When R₂ is shunted by a resistance of 10 Ω, balance shifts to 50 cm. Find R₁ and R₂ . (AB = 1 m) :

Answer 1

Let resistance per unit length of potentiometer is λ.Assume that P is contact point of potentiometer .

∴ The resistance in AP is R₃ = xλ

R₄ = (1 – x)λ ( λ AB = 1 m)

According to balance condition of wheat stone bridge,