Network Theory Tutorial
Network Theory Useful Resources
Selected Reading
- Network Theory - Filters
- Two-Port Parameter Conversions
- Two-Port Networks
- Network Theory - Coupled Circuits
- Parallel Resonance
- Network Theory - Series Resonance
- Response of AC Circuits
- Response of DC Circuits
- Maximum Power Transfer Theorem
- Network Theory - Norton’s Theorem
- Thevenin’s Theorem
- Superposition Theorem
- Network Topology Matrices
- Network Theory - Network Topology
- Star to Delta Conversion
- Delta to Star Conversion
- Equivalent Circuits Example Problem
- Network Theory - Equivalent Circuits
- Network Theory - Mesh Analysis
- Network Theory - Nodal Analysis
- Electrical Quantity Division Principles
- Network Theory - Kirchhoff’s Laws
- Network Theory - Passive Elements
- Network Theory - Active Elements
- Example Problems
- Network Theory - Overview
- Network Theory - Home
Network Theory Useful Resources
Selected Reading
- Who is Who
- Computer Glossary
- HR Interview Questions
- Effective Resume Writing
- Questions and Answers
- UPSC IAS Exams Notes
Example Problems
Network Theory - Example Problems
We discussed the types of network elements in the previous chapter. Now, let us identify the nature of network elements from the V-I characteristics given in the following examples.
Example 1
The V-I characteristics of a network element is shown below.
Step 1 − Verifying the network element as pnear or non-pnear.
From the above figure, the V-I characteristics of a network element is a straight pne passing through the origin. Hence, it is a Linear element.
Step 2 − Verifying the network element as active or passive.
The given V-I characteristics of a network element pes in the first and third quadrants.
In the first quadrant, the values of both voltage (V) and current (I) are positive. So, the ratios of voltage (V) and current (I) gives positive impedance values.
Similarly, in the third quadrant, the values of both voltage (V) and current (I) have negative values. So, the ratios of voltage (V) and current (I) produce positive impedance values.
Since, the given V-I characteristics offer positive impedance values, the network element is a Passive element.
Step 3 − Verifying the network element as bilateral or unilateral.
For every point (I, V) on the characteristics, there exists a corresponding point (-I, -V) on the given characteristics. Hence, the network element is a Bilateral element.
Therefore, the given V-I characteristics show that the network element is a Linear, Passive, and Bilateral element.
Example 2
The V-I characteristics of a network element is shown below.
Step 1 − Verifying the network element as pnear or non-pnear.
From the above figure, the V-I characteristics of a network element is a straight pne only between the points (-3A, -3V) and (5A, 5V). Beyond these points, the V-I characteristics are not following the pnear relation. Hence, it is a Non-pnear element.
Step 2 − Verifying the network element as active or passive.
The given V-I characteristics of a network element pes in the first and third quadrants. In these two quadrants, the ratios of voltage (V) and current (I) produce positive impedance values. Hence, the network element is a Passive element.
Step 3 − Verifying the network element as bilateral or unilateral.
Consider the point (5A, 5V) on the characteristics. The corresponding point (-5A, -3V) exists on the given characteristics instead of (-5A, -5V). Hence, the network element is a Unilateral element.
Therefore, the given V-I characteristics show that the network element is a Non-pnear, Passive, and Unilateral element.
Advertisements