Which of the following equations is a correct equation for the electrical circuit shown in the figure?

ε_{1} - (i_{1} + i_{2}) R - i_{1} r_{1} = 0

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ε_{2} - i_{2} r_{2} - ε_{1} - i_{1} r_{1} = 0

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- ε_{2} - (i_{1} + i_{2}) R + i_{2} r_{2} = 0

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ε_{1} - (i_{1} + i_{2}) R + i_{1} r_{1} = 0

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Solution

The correct option is A $ε_{1} - (i_{1} + i_{2}) R - i_{1} r_{1} = 0$
Appying Kirchoffs Circuit law in the loop shown in figure,
we get,
$ε_{1} - (i_{1} + i_{2}) R - i_{1} r_{1} = 0$

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