The source voltage is v1(t) = sin(2000t). we wish to obtain the current through the 250 ω resistor (i250) and the 500 ω resistor (i500). there is no initial energy stored in the circuit and the source turns on at time t = 0. (a) find the state equation for this circuit. (b) find the output equation. (c) using your state and output equations, use matlab to plot the resistor currents for 0 ≤ t ≤ 4 ms. use a sufficient number of samples so that the plot appears smooth.

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.