### Nodal Analysis Problems with Solution: Solved Problems, Examples, Numericals, (How to solve)

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Nodal Analysis is based on the KCL theorem. According to the KCL, the sum of incoming current is always equal to the sum of outgoing current. In nodal analysis steps for solving problems are:

1. Find out the number of nodes.

2. Number of equations are equal to the no. of nodes.
3. Let denote the nodes with names like Va.

As shown in circuit shown in figure, there is only one node Va. The incoming currents to the node is only I1. The outgoing currents are I2 and I3.

According to KCL at node A,

Sum of incoming current = Sum of outgoing current

I1=I2+I3

Current I1 is flowing V to Va

$\frac{V-V_{a}}{R_{1}}$

In the same way I2 and I3 equations can be written.

Therefore I1=I2 + I3

On solving above equations  value of Va get calculated.
Once you know the value of Va, you can calculate the value of I1, I2 and I3.

For more problems and electrical theorems you can read related posts given below this post.