The state equations of the given RLC circuit are given in Equation below. R ww e(t) Element values R=n, L=H, C=;F. e(t) = cos 6(5t + L starting conditions iL(0) (a) Find state transition matrix (6(t, to)) (c) find the basic solution (d) Find the forced solution

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Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).