First slide

potentiometer

Question

In the given potentiometer circuit, length of the wire AB is 3 m and resistance is $R = 4.5 Ω$ . The length AC for no deflection in galvanometer is

Moderate

A

2 m
B

1. 8 m
C

dependent on r₁
D

none of these

Solution

Potential gradient,
$\begin{array}{l} x = (\frac{5}{0 .5 + 4 .5}) (\frac{4 .5}{3}) = 1 .5 V m^{- 1} \\ Here (x) (AC) = 3 \Rightarrow AC = \frac{3}{1 .5} = 2 m \end{array}$

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