Question

The potential difference between points $A$ and $B$ is

• A. $\frac{20}{7} V$
• B. $\frac{40}{7} V$
• C. $\frac{10}{7} V$
• D. $\frac{12}{7} V$

Answer 1

Answer: (D)

$I_{1}=\frac{10}{10}=1\, A$
$I_{2}=\frac{10}{7} A$
$KVL$ from $A$ to $B$
$V _{ A }-6 XI _{1}+3 \times I _{2} $
$= V _{ B }$
$V _{ A }-6+\frac{30}{7} $
$= V _{ B }$
$V _{ A }- V _{ B } $
$=\frac{42-30}{7} $
$=\frac{12 V }{7}$