A series circuit contains a resistor and an inductor as shown in Figure below. Determine a differential equation for the current i(f) if the resistance is R, the inductance is L, and the impressed voltage is E(t). Then determine the current i(t), with R = 4 N, L = 2 h, E (t) = cos(3t) using the ordinary variation of parameters method. Later Solve the same determined ODE using the Laplace transform (determine i(t) using Laplace transform) and compare the two Methods. for initial conditions, i(0) = 0
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).
A series circuit contains a resistor and an inductor as shown in Figure below. Determine a differential equation for the current i(f) if the resistance is R, the inductance is L, and the impressed voltage is E(t).
Then determine the current i(t), with R = 4 N, L = 2 h, E (t) = cos(3t) using the ordinary variation of parameters method. Later Solve the same determined ODE using the Laplace transform (determine i(t) using Laplace transform) and compare the two Methods. for initial conditions, i(0) = 0
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