Circuit Theory #14 | Dependent Sources in Nodal Analysis — Worked Examples

Instructor: Dr. Süleyman Burak ÇELİK

Fourteenth lesson in the Circuit Theory series. This lesson shows how dependent sources enter nodal analysis through two worked examples. Example 1 is an ordinary node-voltage problem with a dependent current source: - Choose the reference node - Write one KCL equation at each unknown node - Add the control relation `Vx = V1 - V2` - Solve for `V1`, `V2`, and the controlling voltage `Vx` Example 2 extends the same idea to an extended supernode: - Write the source constraints for the independent and dependent voltage sources - Write one KCL equation at the top node - Write one KCL equation for the whole supernode boundary - Solve for `V` and `V1`, then recover the internal node voltages Main takeaway: - KCL does not change when a source becomes dependent - What changes is the extra control equation that links the source value to a circuit variable - In supernode problems, only boundary-crossing currents are counted Covers content from TR lectures d23 and d24.