Transient response of three circuits are to be determined. For each circuit find the transient response analytically and then sketch your response. Please clearly label each graph. (a) Find v(t) for t>0. i(1) v(t) (b) The following circuit is initially at rest (no initial energy). Find iour(t) for DO.Please note that the input is an impulse function with a magnitude of A. VIME) R1 I iout() R3 L ( c) There is no initial energy in this circuit and the input is a step function with the magnitude of V. Determine voUT for t>0. Vour(t) VIt)

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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.