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Using the Mesh Analysis Find the Mesh Current in the Direction Shown and Also Find the Voltage Across a and B Terminals . - Basic Electrical and Electronics Engineering

Sum

Using the mesh analysis find the mesh current in the direction shown and also find the voltage across A and B terminals.

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Solution

Applying KVL to mesh a
−3πΌπ‘Ž − 2πΌπ‘Ž − 4(πΌπ‘Ž − 𝐼𝑏 ) + 10 = 0
−3πΌπ‘Ž − 2πΌπ‘Ž − 4πΌπ‘Ž + 4𝐼𝑏 + 10

Applying KVL to mesh b

-10 + 6πΌπ‘Ž + 8𝐼𝑏 − 4(𝐼𝑏 − πΌπ‘Ž) = 0
6𝐼𝑏 + 8𝐼𝑏 − 4𝐼𝑏 + 4πΌπ‘Ž = 10
-4πΌπ‘Ž + 18𝐼𝑏 = 10 ………..(2)
From (1) and (2) we get,
πΌπ‘Ž = 1.5068A and 𝐼𝑏 = 0.890A
For voltage:-
Apply KVL to mesh
-V+3πΌπ‘Ž + 8𝐼𝑏 = 0
V = 3πΌπ‘Ž + 8𝐼𝑏
V = 3× 1.5068 + 0.89 × 8
V = 11.640V

Concept: Mesh Analysis
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