Nodal Analysis Lecture with example problems, Slides of Electrical Circuit Analysis

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EE

Gustav Robert Kirchhoff (12 March 1824 –

17 October 1887)

What is Nodal Analysis?

The goal of Nodal Analysis is to find out the voltages at all the

nodes in a circuit. We use KCL to create a set of independent

equations that can be solved for the unknowns

First Step: Choose a ground

Calculated voltages represent values relative to a ground. By

definition, the voltage at ground is zero. The ground can be

placed anywhere.

The art of choosing a ground

If there are independent sources in the circuit, try to place your

ground so that the voltages at other nodes will become

automatically defined

Another example

1 2

V − V =

Applying KCL to obtain Nodal

Equations

Apply KCL at Node 2: Sum of currents leaving node must = zero:

∑

= leaving

i

12

V 2 − V 1

2 −^0

V

V 2 − V 3

+ =^0 mA

• Practice

Practice 2: