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Question: A potentiometer has uniform potential gradient across it. Two cells connected in series (i) to suppo...

A potentiometer has uniform potential gradient across it. Two cells connected in series (i) to support each other and (ii) to oppose each other are balanced over 6 m and 2 m respectively on the potentiometer wire. The emf’s of the cells are in the ratio of

A

1 : 2

B

1 : 1

C

3 : 1

D

2 : 1

Answer

2 : 1

Explanation

Solution

If suppose emf’s of the cells are E1 and E2 respectively then

E1 + E2 = x × 6 ……. (i) [x = potential gradient) ]

and E1 – E2 = x × 2 …….(ii)

⇒ E1+E2E1−E2=31\frac{E_{1} + E_{2}}{E_{1} - E_{2}} = \frac{3}{1} ⇒ E1E2=21\frac{E_{1}}{E_{2}} = \frac{2}{1}