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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
−3πΌπ − 2πΌπ − 4(πΌπ − πΌπ ) + 10 = 0
−3πΌπ − 2πΌπ − 4πΌπ + 4πΌπ + 10
Applying KVL to mesh b
-10 + 6πΌπ + 8πΌπ − 4(πΌπ − πΌπ) = 0
6πΌπ + 8πΌπ − 4πΌπ + 4πΌπ = 10
-4πΌπ + 18πΌπ = 10 ………..(2)
From (1) and (2) we get,
πΌπ = 1.5068A and πΌπ = 0.890A
For voltage:-
Apply KVL to mesh
-V+3πΌπ + 8πΌπ = 0
V = 3πΌπ + 8πΌπ
V = 3× 1.5068 + 0.89 × 8
V = 11.640V
Concept: Mesh Analysis
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