An electrical circuit consists of the resistances $R, r_1, R_2$ and voltage sources $E_1$ and $E_2$ as shown…

An electrical circuit consists of the resistances $R, r_1, R_2$ and voltage sources $E_1$ and $E_2$ as shown in the figure The correct equation for the loop $E B C D E$ is

1. $E_1-\left(I_1+I_2\right) R+I_2 r_2=0$
2. $E_1-\left(I_1+I_2\right) R-I_1 r_1=0$
3. $E_1-\left(I_1+I_2\right) R+I_1 r_1=0$
4. $E_2-I_2 r_2-E_1-I_1 r_1=0$

Solution

Consider the figure below: Potential drop on moving along $E B C D E$ : $\begin{aligned} & -I_1 r_1+E_2-\left(I_1+I_2\right) R=0 \\ & \Rightarrow E_2-\left(I_1+I_2\right) R-I_1 r_1=0\end{aligned}$

Asked in: MHT CET 2022 (07 Aug Shift 2)

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