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Potentiometer

In the follow...

Question

In the following circuit the potential difference between the points B and C is balanced against 40 cm length of potentiometer wire. In order to balance the potential difference between the points C and D, where should jockey be pressed

A

32 cm

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B

16 cm

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C

8 cm

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D

4 cm

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Solution

The correct option is A 32 cm
$\frac{1}{R} = \frac{1}{10} + \frac{1}{10} = \frac{2}{10} = \frac{1}{5}$ or $R_{1} = 5 Ω$
$R_{2} = 4 Ω, I_{1} = 40 c m, I_{2} = ?$
$l_{2} = l_{1} \frac{R_{2}}{R_{1}}$ or $l_{2} = \frac{40 \times 4}{5} = 32 c m$

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