Solved Numericals on KVL, Mesh analysis, Superposition theorem and Thevenin’s Theorem

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Kirchhoff's Voltage Law (KVL) / Mesh Analysis

Q) Find the current flowing through 1 Ω resistance by using Kirchhoff’s voltage law / Mesh analysis.

Mesh Analysis

For Mesh 1

130-0.2I_1-0.2I_1+0.2I_2-110=0

-0.4I_1+0.2I_2=-20   \ldots\ldots (1) 

For Mesh 2

-I_2+110-0.2I_2+0.2I_1-0.2I_2=0

0.2I_1-1.4I_2=-110   \ldots\ldots (2) 

I_1 = 96.1538 A (clockwise)

I_2 = 92.3076 A (clockwise)

\therefore  current flowing through 1 Ω resistor is 92.3076 A.

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