Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance as shown in the figure. An external resistance of is connected via the sliding contact. [2025]

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Solution

Q.

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance $R_{p} = 1 Ω$ as shown in the figure. An external resistance of $R_{e} = 2 Ω$ is connected via the sliding contact. [2025]

1 0.3 A

2 1.35 A

3 1.0 A

4 0.9 A

Ans.
(3)

The circuit can be considered as

$∴$ $R_{e q} = 0.5 + \frac{0.5 \times 2}{2 + 0.5} = (\frac{5}{10} + \frac{10}{25}) Ω$

$= \frac{45}{50} = \frac{9}{10} = 0.9$

$∴$ $i = \frac{0.9}{0.9} = 1 A$

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