The total length of potentiometer wire AB is 50 cm in the arrangement as shown in figure. If P is the point where the galvanometer shows zero reading then the length AP is _______ cm. [2026]

Question

Smart Achievers · Accepted Answer

(1)

$\frac{6}{R_{A P}} = \frac{4}{R_{P B}};$

$ℓ_{A P} + ℓ_{P B} = 50 . . . (i)$

$\frac{R_{A P}}{R_{P B}} = \frac{ℓ_{A P}}{ℓ_{P B}} = \frac{3}{2}$

$ℓ_{A P} = \frac{3}{5} \times 50 = 30 cm$

Solution

Q.
The total length of potentiometer wire AB is 50 cm in the arrangement as shown in figure. If P is the point where the galvanometer shows zero reading then the length AP is _______ cm. [2026]

1 30

2 20

3 25

4 15

Ans.
(1)

$\frac{6}{R_{A P}} = \frac{4}{R_{P B}};$

$ℓ_{A P} + ℓ_{P B} = 50 . . . (i)$

$\frac{R_{A P}}{R_{P B}} = \frac{ℓ_{A P}}{ℓ_{P B}} = \frac{3}{2}$

$ℓ_{A P} = \frac{3}{5} \times 50 = 30 cm$

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