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: Apply Kirchhoff's Voltage Law (KVL) to the loops.
The mesh current analysis involves setting up equations using KVL for each loop.

Step 2: Solve the equations.
By substituting the given values of resistances and voltage sources, we solve the system of equations to determine the value of the mesh current.
After solving, we get:
\( i_1 = 0.132 \, \text{A} \).
Final Answer: \[ \boxed{(1) \, i_1 = 0.132 \, \text{A}} \]