Find I_(0) in Fig. 10.8 using mesh-analysis. Answer: 5.969/55.45 A

## Step 1: Identify the Meshes### The circuit has two meshes. Let's label them as Mesh 1 and Mesh 2.- **Mesh 1** includes the 8-ohm resistor, -j2 ohm reactance, and the current source A.- **Mesh 2** includes the 6-ohm resistor, j4 ohm reactance, and the voltage source V.## Step 2: Write the Mesh Equations### For Mesh 1:The voltage around Mesh 1 can be written using Kirchhoff's Voltage Law (KVL): Simplifying, we get: ### For Mesh 2:The voltage around Mesh 2 can be written using KVL: Simplifying, we get: ## Step 3: Solve the Mesh Equations### Solving for : Converting to polar form: ### Solving for : Converting to polar form: ## Step 4: Calculate ### Since is the current through the series combination of the 8-ohm resistor and -j2 ohm reactance, it is equal to .## Step 5: Convert Results to Rectangular Form### Converting back to rectangular form: ### Simplify the expression: