4. A load with a resistance of R is connected to the circuit. (a) Find the value of the resistance RL to which a maximum power can be delivered. (b) When R is adjusted for maximum power transfer, what percentage of the power delivered by the 50-V independent voltage source reaches RL? 20Q 40 Q R1 10ix 50 V

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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.