Can you only do Roman Numerals part I through V Ci P1. Consider Vs 5V. L-1H, C1-
ID: 2291732 • Letter: C
Question
Can you only do Roman Numerals part I through V
Ci P1. Consider Vs 5V. L-1H, C1-1mF, C2-2mF and R-302. We would like to study the behavior of the voltage in the capacitor C2 and determine for + example: 20 a) b) c) d) How long is it going to take the capacitor to fully charge (in practice 98%)? What will be the voltage in steady state What would be the maximum peak (if some) What can I do if I want to have it fully charged in 0.1 secs. I Obtain the EOM and solve for Vc2 1. Analytically by hand (if possible) 2. Analytically with Matlab (if possible). With command dsolve. a. Obtain also the graph 3. Numerically with the command ODE45 of matlab. a. Obtain also the graph. 4. From the graphs answer questions a,b and c. I Obtain the transfer function G(s)-Vs(s)/VC2(s) III Consider the input is an step function of amplitude 5. Use the final value theorem to obtain the steady state value of VC2(s). 1. Use Simulink to obtain the graph of the voltage in the capacitor. Make sure you obtain the same graphs as in problem 1. IV. Built the system in Simulink/simscape and obtain the graph of the voltage in the capacitor. V. Use the formulas learned in the lecture to calculate the answer to questions a) to c)Explanation / Answer
(A) capacitor will take time around 5*tau ( 5 * time constant) to fully charge.
(C) Circuit act as a voltage doubler if voltage across C2 is measured, so the voltage peak of 10v will be there.