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Mixed Combination of Cells

A 6V cell wit...

Question

A 6V cell with 0.5 $Ω$ internal resistance, a 10V cell with 1 $Ω$ internal resistance and a $12$ $Ω$ external resistance are connected in parallel. The current (in amperes) through the 10V cell is

A

0.6

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B

2.27

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C

2.87

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D

5.14

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Solution

The correct option is B 2.87
The potential difference between AB,CD and EF are same.
Applying Kirchhoff's law,
$6 - (0.5) I_{1} = 10 - I_{2} = 12 (I_{1} + I_{2})$
solving above equations, we get
$I_{1} = 2.87 A$ .

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