Question

The power delivered by the current source, in the figure, is____.

• A. 3

Answer 1

The correct option is A 3

Applying nodal analysis at node P, we have:

$\frac{V_I-V_1}{1}+\frac{V_I-V_2}{1}-2=0$

or, $2V_I-(V_1+V_2)=2$

or, $V_I=\left[\frac{2+(V_1+V_2)}{2}\right]$ ....(i)

$Also,V_1-V_2=1voltand{V}_1=1$ volt

$\therefore V_2=V_1-1=1-1=0$ volt

Putting values of $V_1$ and $V_2$ is equation (i), we get:

$V_I=\left[\frac{2+(1+0)}{2}\right]=\frac{3}{2}$ volt

$\therefore$ Power delivered by the current source

$=V_1.I=\frac{3}{2}\times 2$ $[\therefore I=2A(given\left)\right]$

$=3W$