Engr Muhammad Salman 1

Network Analysis

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Analysis of Linear Bilateral Network

• A Bilateral network can be analyzed by the following techniques.

1. Mesh (Loop)Analysis 2. Nodal Analysis

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Mesh (Loop) Analysis• Mesh Analysis can be done by using KVL. • A loop is a closed path in a circuit , starting

from one point and ending on same but not repeating any node more than once.

• Mesh is a loop having no loop inside.

Mesh 1Mesh 2

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Mesh (Loop) Analysis1. Arbitrarily assign a clockwise current to each interior closed loop in thenetwork. Although the assigned current may be in any direction, a clockwisedirection is used to make later work simpler.2. Using the assigned loop currents, indicate the voltage polarities across allresistors in the circuit. For a resistor that is common to two loops, thepolarities of the voltage drop due to each loop current should be indicatedon the appropriate side of the component.3. Applying Kirchhoff’s voltage law, write the loop equations for each loopin the network. Do not forget that resistors that are common to two loopswill have two voltage drops, one due to each loop.4. Solve the resultant simultaneous linear equations.5. Branch currents are determined by algebraically combining the loop currents

that are common to the branch.

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Example Find I1 and I 2 by using Mesh analysis

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Determine the current across R2