Basic Electrical, Electronics And Instrumentation Engineering: UNIT I: Electrical Circuits
Nodal Analysis
Examples
A junction point in an electrical circuit is called anode. A potential drop is measured with respect to this point and another node acting as a reference point. Generally ground is taken as a reference point.
NODAL
ANALYSIS
A
junction point in an electrical circuit is called anode. A potential drop is
measured with respect to this point and another node acting as a reference
point. Generally ground is taken as a reference point. If n is the number of
node then the number of independent KCL equations in nodal analysis is (n - 1)
because one node acts as a reference node.
Consider
a sample circuit shown in Figure 1.18(a).
The
above nodal equations for node 1 and 2 are used to find the voltages at each
node.
Steps Involved in Nodal Analysis
Step 1:
Identify all independent nodes wherever the current branches out and select a
references node.
Step 2:
Write the nodal equation using KCL for all nodes except the reference node.
Step 3:
Nodal equations are then solved to find nodal voltages and branch currents.
Example 1.9:
Using nodal analysis determine nodal voltages for the circuit shown in of figure
below.
Solution:
Example 1.10:
Find the unknown voltage V, in the circuit shown in figure below. Assume V1
= 16 V
Example 1.11:
For the given circuit write the node voltage equations and determine the
currents in each branch for the given network.
Example 1.12: For
the circuit shown below using nodal analysis find the voltage V, which makes
the current in 10 ῼ as zero.
Example 1.13:
For the circuit find the voltage across the 6 2 resistor by using nodal
analysis.
Basic Electrical, Electronics And Instrumentation Engineering: UNIT I: Electrical Circuits : Tag: : Examples - Nodal Analysis
Basic Electrical, Electronics And Instrumentation Engineering: UNIT I: Electrical Circuits
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