Question

In the circuit shown in the figure, the value of the current i will be given by

• A. 0.31 A
• B. 1.25 A
• C. 1.75 A
• D. 2.5 A

Answer 1

The correct option is B 1.25 A


By KVL in Loop-1,

$5-i_1-i_1=0$

$i_1=\frac{5}{2}=2.5A$

$\therefore V_a=2.5V$

By KVL in Loop-2,

$4V_{ab}=3i_2+i_2$

$i_2=\frac{4V_{ab}}{4}=V_{ab}$

$\therefore V_b=1\times i_2=V_{ab}$

$V_b=V_a-V_b$

$V_b=\frac{V_a}{2}=\frac{2.5}{2}$

$=1.25V$

$i_2=V_{ab}=V_b$

$i_2=1.25A$