Circuit Theory #26 | Thevenin with Dependent Sources - Short-Circuit and Test Source Methods

Instructor: Dr. Süleyman Burak ÇELİK

Twenty-sixth lesson in the Circuit Theory series. This lesson continues Thevenin equivalents, but now the circuit has both an independent source and a dependent source. Because the dependent source is controlled by the circuit variable `i_b`, it must stay active while finding the equivalent resistance. Worked example: - Find the open-circuit voltage: `Vth = 10 V` - Short terminals `a-b` and compute `i_b = 0.2 A` - Use the dependent source: `9i_b = 1.8 A` - Get `Isc = 2 A` - Compute `Rth = Vth / Isc = 5 ohm` - Check with a `1 A` test source: `Vx = 5 V`, so `Rth = 5 ohm` - Final equivalents: Thevenin `10 V` with `5 ohm`; Norton `2 A` with `5 ohm` Main ideas: - Turn off independent sources only when the method requires it - Keep dependent sources active - Keep the controlling variable in the equations - Short-circuit and test-source methods should agree #CircuitTheory #Thevenin #Norton #DependentSources #CircuitAnalysis #EquivalentCircuit #ElectricalEngineering #AcEdumy Also available on AcEdumy.com without ads.