Find I1 to I6 using NODE VOLTAGE method [Nilsson Problem 4.15]

4.15 The circuit shown in Fig. P4.15 is a dc model of a residential power distribution circuit.
a) Use the node-voltage method to find the branch currents i1 - i6
b) Test your solution for the branch currents by showing that the total power dissipated equals the total power developed.

In this video, we solve Problem 4.15 from the textbook Electric Circuits by Nilsson and Riedel. The circuit provided represents a simplified DC model of a residential power distribution network, and we are tasked with finding all six branch currents (i₁ to i₆) using the mesh-current method.

🧮 What You’ll Learn:

How to apply the mesh-current method step by step

How to write mesh equations based on Kirchhoff’s Voltage Law (KVL)

How to handle shared components between meshes

Solving systems of equations to obtain all branch currents

🔧 Key Concepts Covered:

Mesh analysis in multi-loop circuits

Converting mesh currents to branch currents

Efficient strategy for solving resistive DC circuits

📚 This example is excellent for engineering students studying circuit analysis or preparing for exams in Electrical and Computer Engineering courses. It also helps reinforce foundational techniques like KVL and matrix equation solving.

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Видео Find I1 to I6 using NODE VOLTAGE method [Nilsson Problem 4.15] канала Ardi Satriawan