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  • See the electric circuit shown in this Figure. Which of the following equations is a correct equation for it? <img alt="" src="https://cdn.entrance360.co

See the electric circuit shown in this Figure. Which of the following equations is a correct equation for it?

 

 

Option: 1

\varepsilon_{2}-\text{i}_{2}\ \text{r}_{2}-\varepsilon_{1}-\text{i}_{1}\ \text{r}_{1}=0


Option: 2

-{\rm \varepsilon}_{2}-(\text{i}_{1}+\ \text{i}_{2})\ \text{R}+\text{i}_{2}\ \text{r}_{2}=0


Option: 3

\varepsilon_{1}-(\text{i}_{1}+\ \text{i}_{2})\ \text{R}+\text{i}_{1}\ \text{r}_{1}=0


Option: 4

\varepsilon_{1}-(\text{i}_{1}+\ \text{i}_{2})\ \text{R}-\text{i}_{1}\ \text{r}_{1}=0


Answers (1)

best_answer

Applying Kirchhoff's equation to the loop ABFE 

we get

\begin{array}{l} \quad-\left(i_{1}+i_{2}\right) R-i_{1} r_{1}+\varepsilon_{1}=0 \\ \text { or } \varepsilon_{1}-\left(i_{1}+i_{2}\right) R-i_{1} r_{1}=0 \end{array}

 

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