The power delivered by the current source, in the figure, is _______.

Concept:

Nodal Analysis:

- Nodal Voltage Analysis uses the “Nodal” equations of Kirchhoff’s first law to find the voltage potentials around the circuit. So by adding together all these nodal voltages the net result will be equal to zero.
- If there are “n” nodes in the circuit there will be “n-1” independent nodal equations and these alone are sufficient to describe and hence solve the circuit.
- At each node point write down Kirchhoff’s first law equation(KCL), that is: “the currents entering a node are exactly equal in value to the currents leaving the node” then express each current in terms of the voltage across the branch using Ohm's law.
- So the nodal analysis is primarily based on the application of KCL and Ohm's law.
- For “n” nodes, one node will be used as the reference node and all the other voltages will be referenced or measured with respect to this common node.

Let a network and find voltage V using nodal analysis



Applying nodal analysis at node V

$\frac{V-V_1}{R_1}+\frac{V-V_2}{R_2}+\frac{V-V_3}{R_3}=0$

Calculation:

Let the voltage across the current source be Vₓand mark it as a node



Apply nodal analysis across the node V${}_X$

${}_{\frac{1-V_X}{1}+2=\frac{V_X}{1}}$

⇒ V${}_X$ = 1.5 V

Power delivered by current source is

P = Vₓ × I

= 2 × 1.5 = 3 W

Therefore the power delivered by the current source is 3 W