First slide

potentiometer

Question

AB is a potentiometer wire of length 100 cm and its resistance is 10 ohms. It is connected in series with a resistance R = 40 ohms and a battery of e.m.f. 2 V and negligible internal resistance. If a source of unknown e.m.f. E is balanced by 40 cm length of the potentiometer wire, the value of E is

Moderate

A

0.8 V
B

1.6 V
C

0.08 V
D

0.16 V

Solution

$\begin{array}{l} E = \frac{e}{(R + R_{h} + r)} \frac{R}{L} \times l \\ = \frac{2}{(10 + 40 + 0)} \times \frac{10}{1} \times 0 .4 = 0 .16 V \end{array}$

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