Nodal Analysis: Determining Voltages and Currents in Circuits, Essays (university) of Electronics

A step-by-step guide to performing nodal analysis, a systematic method for determining voltages and currents in electrical circuits. The steps involved in nodal analysis, including choosing a reference node, labeling voltages and currents, using kirchoff's current law and ohm's law, and solving for node voltages and currents.

Typology: Essays (university)

2018/2019

Uploaded on 11/23/2019

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Lecture 4
Nodal Analysis
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Lecture 4

Nodal Analysis

1

Nodal Analysis

2

One of the systematic ways to determine every

voltage

and

current

in a circuit

Steps In Nodal Analysis

What are the voltages of the three nodes a,b,cbelow?

Steps In Nodal Analysis

Step 1

Pick one node as a reference node- Its voltage will be arbitrarily defined to be zero

Steps In Nodal Analysis

Step 3

Label the currents flowing through each of thecomponents in the circuit

Steps In Nodal Analysis

Step 4

Use Kirchoff’s Current LawFrom Node b:

i+i^1

+i 2

=0 3

Steps In Nodal Analysis

Step 6

Solve for node voltages

(^

)^

(^

)

b

1

2

3

Node V , current out = current in

b^

b b

i^

i^

i

V^

V

V

+^

+^

−^

+^

+^

Ω^

Ω^

Steps In Nodal Analysis

(^

)^

(^

)

(^

)^

(^

)

(^

b^ 4.

b b

b^

b b

V^ b b b b

V^
V^
V
V
V^
V
V
V^
V V
V
V
V
V
V
V V^
V
−^
+^
+^
Ω^
Ω^
−^
+^
+^
−^
Ω^
Ω^
Ω^
Ω^
^
^
^
+^
+^
=^
^
^
^
Ω^
Ω^
Ω^
Ω^
^
^
^
^
^ =
^
^
=^