In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is 3 : 2 , the difference in the balancing length of the potentiometer wire in above two cases will be _____ cm .

Question

In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is 3 : 2 , the difference in the balancing length of the potentiometer wire in above two cases will be _____ cm .,

MARKS App · Accepted Answer

If the potential difference between the potentiometer is V and the potential of the battery is ε . Then, ε V = l L Therefore, ε 1 ε 2 = l 1 l 2 ⇒ 3 2 = 75 x ⇒ x = 50 cm Therefore, the difference in the balancing length is 75 - 50 = 25 cm

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