### Circuit Diagram Explanation This image depicts an electrical circuit comprising various components, including resistors, sources of voltage, and a dependent voltage source. Below is a detailed breakdown of the circuit: #### Components: 1. **Independent Voltage Sources:** - A 100 V source is positioned on the left side, flowing into the circuit. - A 20 V source connects vertically below node A. 2. **Resistors:** - Multiple resistors are present, each with a resistance of 4 Ω. - The resistors are connected at different nodes and paths, aligning horizontally and vertically. 3. **Dependant Voltage Source:** - The dependent source, denoted as 4Vₓ, is located on the top left and depends on the voltage Vₓ across one of the 4 Ω resistors. #### Circuit Arrangement: - **Nodes:** - **Node A** connects the central point of the circuit, linking several paths. - **Node B** and **Node C** are other key junctions facilitating different pathways within the circuit. - **Pathways:** - From the 100 V source, the current passes through a 4 Ω resistor to node B. - At node B, the circuit branches upwards and to the right through another 4 Ω resistor leading to node C. - From node A, the circuit runs through a Vₓ 4 Ω resistor vertically down to the 20 V source. - The circuit branches left through a 4 Ω resistor from node A back to the 100 V source. - **Load Resistor:** - An additional resistor, labeled Rₗ (load resistor), is on the right side of the circuit between nodes C and the lower part of the circuit. This circuit exemplifies an electrical network with both independent and dependent voltage sources, providing a foundation for analyzing complex circuit behavior through principles of electrical engineering. vii. What is the power dissipated in \( R_L \) when it has a value to allow maximum power transfer? 9.075 W.