question_answer

In the circuit shown, the potential difference between M and N is -

A) 4V                               

B) 7V

C) 8V                               

D) 2V

Correct Answer: D

Solution :

  \[{{i}_{1}}\,=\,\frac{1}{10},\,\,{{i}_{2}}\,=\,\frac{3}{6}\,\,=\,\frac{1}{2}\] Using KVL- \[{{V}_{M}}-5\times \frac{1}{10}-4+3\times \frac{1}{2}+2\times \frac{1}{2}={{V}_{N}}\] \[{{V}_{M}}-{{V}_{N}}\,=\,\frac{1}{2}+4-\frac{5}{2}\,=\,\frac{1+8-5}{2}\,\,=\,\,2\,\,volt\]