Question

In the circuit shown in figure $E_1=E_2=E_3=2\text{V}$ and $R_1=R_2=4\Omega$. The current flowing between points $\text{A}$ and $\text{B}$ through battery $E_2$ is

• A. $2\text{A}$ from $A$ to $B$
• B. zero
• C. None of the above
• D. $2\text{A}$ from $B$ to $A$

Answer 1

The correct option is A $2\text{A}$ from $A$ to $B$



Apply KVL for loop $1$,

$2+2-4I_1=0\Rightarrow I_1=1\text{A}$

Similarly, for loop $\left(2\right)$,

$-2-2+4I_2=0\Rightarrow I_2=1\text{A}$

So, the current from $A$ to $B$ is

$I_1+I_2=2\text{A}$

Hence, option $\left(b\right)$ is correct.