Find the differential equation relating a current source i3(t) = cos( ohm 0t) wi

Question

Find the differential equation relating a current source i3(t) = cos( ohm 0t) with the current; iL(t) in an inductor, with inductance I = 1 H, connected in parallel with a resistor of R= 1 ohm (see Figure 0.26). ) Assume a zero initial current in the inductor. Obtain a discrete equation from the differential equation using the trapezoidal approximation of an integral Create a MATLAB script to solve the difference equation for T1 = 0.01 and three frequencies for i5(t), ohm 0 = 0.005 pi, 0.05 pi, and 0.5 pi. Plot the input current source i5(t) and the approximate solution iL (nT5) in the same figure. Use the MATLAB function plot. Use the MATLAB function filer to solve the difference equation (use help to learn about filter) Solve the differential equation using symbolic MATLAB when the input frequency is ohm 0 = 0.5 pi . Use phasors to find the amplitude of iL(t) when the input is is(t) with the given three frequencies FIGURE 0.26 Problem 0.5. RL circuit: input i5(t) and output i1(t).

Explanation / Answer

It is a fundamental starting point in the field of engineering, and serves as the basic material that other advanced books in the engineering subject area are based. This book looks at the concepts of systems, serving as an introduction to systems theory. Also, this book examines signals, and the way that signals interact with physical systems.

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