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The image asks to analyze the circuit in Figure 2.19(a) using the mesh method and to calculate the current in the 5-ohm resistance.

Since the actual circuit diagram is not visible in the current image, I can guide you on how to approach such problems using the mesh method. The steps for solving circuits using mesh analysis are generally as follows:

### Steps for Mesh Analysis:
1. **Identify the Meshes**: Determine how many loops (meshes) are in the circuit.
2. **Assign Mesh Currents**: Assign a current for each loop (clockwise or counterclockwise, your choice).
3. **Write KVL Equations**: For each mesh, apply Kirchhoff's Voltage Law (KVL) around the loop. This states that the sum of voltage drops around any closed loop equals zero.
4. **Solve the Equations**: Solve the system of linear equations to find the mesh currents.
5. **Determine Desired Current**: Once you have the mesh currents, calculate the current through the resistor of interest (in this case, the 5Ω resistor).

If you can upload the full diagram (Fig. 2.19(a)), I can help you solve the specific problem.

Would you like more details on the mesh method? Also, feel free to upload the circuit diagram.

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Here are five related questions that could expand your understanding:
1. How do you apply Kirchhoff’s Voltage Law (KVL) to each loop in a circuit?
2. How do mesh analysis and nodal analysis differ in solving circuits?
3. Can you use superposition in combination with mesh analysis for more complex circuits?
4. What happens if you have a current source in one of the meshes? How do you account for it in mesh analysis?
5. How would the presence of dependent sources affect the mesh equations?

**Tip**: Always double-check the polarity of voltage drops when writing KVL equations; consistent sign conventions help avoid errors.

Analyse the circuit of Fig. 2.19(a) by the mesh method. From the results, calculate the current in the 5Ω resistance.

Understand how to analyze an electrical circuit using the mesh method and calculate the current in a 5Ω resistor. This example problem demonstrates the application of Kirchhoff's Voltage Law and Ohm's Law, suitable for undergraduate electrical engineering students.

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