1. For the complex network at left with output terminals "a" and "b" determine the following: a. The value of the Jhevenin equivalent resistance (R.) looking in from the output terminals (a, b) with the load resistor (Read = 2502) removed. b. The open circuit voltage (Vo) as measured at the output terminals without the load resistor. c. Draw the Thevenin equivalent circuit for the complex linear network. d. What value of load resistance placed across the output terminals would draw maximum power from the sources? 520V R Load 160 2600 a 1A 400 2500 b 6Ω

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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.