Question

In the given circuit, the value of current in different branches and one resistor are shown. The potential at point $B$ with respect to the point $A$ is

• A. $+1\text{V}$
• B. $-2\text{V}$
• C. $-1\text{V}$
• D. $+2\text{V}$

Answer 1

The correct option is A $+1\text{V}$


Using Kirchhoff's junction at $C$, we get

$\Rightarrow i_1+i_3=i_2$
$\Rightarrow 1\text{A}+i_3=2\text{A}\Rightarrow i_3=1\text{A}$

Potential at point $B$ with respect to the point $A$ is

$V_A+1+i_3\left(2\right)-2=V_B$
$\Rightarrow V_A+1+1\times \left(2\right)-2=V_B$
$\Rightarrow V_B-V_A=+1\text{V}$

Hence, option $\left(\text{d}\right)$ is correct.