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Question: A resistance of 4 Ω and a wire of length 5 *metres* and resistance 5 Ω are joined in series and conn...

A resistance of 4 Ω and a wire of length 5 metres and resistance 5 Ω are joined in series and connected to a cell of emf 10 V and internal resistance 1 Ω. A parallel combination of two identical cells is balanced across 300 cm of the wire. The emf E of each cell is

A

1.5 V

B

3.0 V

C

0.67 V

D

1.33 V

Answer

3.0 V

Explanation

Solution

By using Eeq=e(R+Rh+r).RL×lE_{eq} = \frac{e}{(R + R_{h} + r)}.\frac{R}{L} \times l

E=10(5+4+1)×55×3E = \frac{10}{(5 + 4 + 1)} \times \frac{5}{5} \times 3E = 3 volt