Question

Exercise M7 2 Consider a circuit with a 10V source charging a 50mH inductor through a 2J2 resistor, after a switch closes att- 0, as shown. A student in ECE 210 tells you that the current as a function of time t is... I(t)- 0-(1-e t/r) 50m S v 10 in amps (A), where Vo is the value of the source, R is the value of the resistor, and τ is the"time constant" L/R, which depends on the inductance L. From this (they say) we can then find the voltage across the inductor, also as a function of time t... di dtR T in volts (V). And we can also find the power absorbed by the inductor as a function of time t... in watts (W). Finally, the total energy stored in an inductor at any time is... in joulesの DESIGN SPECIFICATIONS 1. 2. Plot i(t), v(t), and p(t) in a meaningful way, fromt 0 to t- 107, with appropriate labels, 3. Build an efficient, robust script to compute i(t), v(t), p(t), and the final energy w title, and subtitles Check that the total energy absorbed by the inductor is approximately equal to the final energy stored in the inductor (after a very long time) For Spec #1, define variables at the beginning, and use expressions written using variables throughout the rest of your script. For Spec #2, use subplots. Because the three functions are all using the same time scale, they should be stacked vertically. Note that L is given in mH, which means r is in ms, which then means we can work with time in ms throughout this exercise. You will likely need a multiline title providing a context and a description of the situation, and you will need to use TEXT commands for the subtitles. In this situation, the functional form of each is most useful, so use LaTeX to construct the first three functions above, with values in place of the symbols, where appropriate For Spec #3, think about the value of current after a very long time, and use that value to compute the final energy. The total energy absorbed is an integral of power absorbed as a function of time The check will not quite work out as expected, so compute the percent difference as a final check.

Answer 1