Problem 2 The node voltages in the circuit shown are V = 5V, V = 0 V, V3 = −8V, V = 0 V Determine the values of the resistance R and of the gain A of the dependent current source. 10 V V3 30ΩΣ 60ΩΣ 02 50 Ω · ix Οι A(ix + iy) 200 Ω R 5Ω Μ HI 10 Ω www 10 Ω 10 Ω 10 Ω 20 Ω ΟΔ

Q: +- 120 V 60 V R 120 k2 30 k2

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Thevenin Theorem

Any linear circuit, no matter how complex, maybe simplified to an equivalent circuit utilizing only a single voltage source and series resistance coupled to a load, according to Thevenin's Theorem. The superposition principle says that all foundational equations must be linear, and the notion of "linear" is still the same (i.e., there should not be any exponentials or roots). This is particularly the case when operating with passive elements like resistors, inductors, and capacitors. However, some components (particularly some gaseous and semiconductor devices like tunnel diode, Schottky diode, transistors like BJT, MOSFET) are nonlinear, meaning their current resistance fluctuates with voltage and current. As a result, circuits made up of these parts are known as nonlinear circuits.