Question

Evaluate the mesh current \( i_1 \) in the given circuit:

• A. \( i_1 = 0.132 \, \text{A} \)
• B. \( i_1 = 1.132 \, \text{A} \)
• C. \( i_1 = 1.05 \, \text{A} \)
• D. \( i_1 = 0.105 \, \text{A} \)

Hint:

In mesh current analysis, apply Kirchhoff's Voltage Law (KVL) to each mesh to derive a system of equations. Solve the system to find the current in each mesh.

Answer 1

The Correct Option is A

Step 1: Use Kirchhoff's Voltage Law (KVL) for loop analysis.
The mesh current analysis requires formulating equations based on KVL for each loop.

Step 2: Solve the resulting equations.
By substituting the known resistance and voltage source values, we solve the set of equations to find the mesh current value.
The solution yields:
\( i_1 = 0.132 \, \text{A} \).
Final Answer: \[\boxed{(1) \, i_1 = 0.132 \, \text{A}}\]