Question

In the given circuit, potential difference between points A and B is (i.e $V_{AB})$

• A. +20 V
• B. -12 V
• C. +14 V
• D. +8 V

Answer 1

The correct option is C +14 V


Applying KVL for the outer loop,
$20-10=2i_1+(i_1+i_2)\Rightarrow 10=3i_1+i_2....\left(1\right)$

Applying KVL for the bottom triangular loop,
$6=3i_2+i_1....\left(2\right)$
Solving `(1)` & `(2)` we get $i_1=3A$

so, $V_{AB}=20-2\times 3=14V$