Below is an overdamped system. Use this Part 1 to fill out the scilab below this

Question

Below is an overdamped system. Use this Part 1 to fill out the scilab below this Part 2. Please fill out the scilab v(count) in part 2.

Part 1

Part 2

2. Below is a Scilab script (program) that is provided to you with missing parts. Fill in the blanks

based on the circuit and your answers from part 1.

clear;clc;

// plot the v(t) for overdamped parallel RLC

R_over=400;// R’s value when overdamped

C=25*10^(-9);//Capacitor’s value

L=25*10^(-3);//inductor’s value

alpha=1/(2*R_over*C);

w_0=1/sqrt(L*C);

s1=-alpha+sqrt(alpha^2-w_0^2);

s2=-alpha-sqrt(alpha^2-w_0^2);

I_F=0.024;

A_1=0.04;//from your calculation in Part 1

A_2=-0.035;//from your calculation in Part 1

count=1

for t1=0:5:220//time in microseconds

i1= (I_F+____*exp(s1*t1/10^6)+_____*exp(s2*t1/10^6))*1000;

i(count)=i1;

v(count)=L*_____*_____*exp(s1*t1/10^6)+L*_____*_____*exp(s2*t1/10^6);

t(count)=t1

count=count+1

end

plot(_____,_____)// plot time versus current

xgrid(2)//put grid in plot

xlabel('Time (t) in microseconds')

ylabel('i(t) for overdamped step RLC’)

title('___________________________')

scf()

plot(____,v) // plot time versus voltage

xgrid(2)

xlabel('Time (t) in microseconds')

ylabel('V(t) for overdamped step RLC ')

title('v(t)=____________')

We have a circuit below. I = 24mA,C = 25nF,L = 25mH, vc(0-) = 50V,h(0-) = 29mA. Ic IR 1. overdamped:R = 4 00 Under overdamped situation·wg-2 (hint: choose >,

Explanation / Answer

The program is,

clear;clc;

// plot the v(t) for overdamped parallel RLC

R_over=400;// R’s value when overdamped

C=25*10^(-9);//Capacitor’s value

L=25*10^(-3);//inductor’s value

alpha=1/(2*R_over*C);

w_0=1/sqrt(L*C);

s1=-alpha+sqrt(alpha^2-w_0^2);

s2=-alpha-sqrt(alpha^2-w_0^2);

I_F=0.024;

A_1=0.04;//from your calculation in Part 1

A_2=-0.035;//from your calculation in Part 1

count=1

for t1=0:5:220//time in microseconds

i1= (I_F+A_1*exp(s1*t1/10^6)+A_2*exp(s2*t1/10^6))*1000;

i(count)=i1;

v(count)=L*A_1*s1/10^6*exp(s1*t1/10^6)+L*A_2*s2/10^6*exp(s2*t1/10^6);

t(count)=t1

count=count+1

end

plot(t,i)// plot time versus current

xgrid(2)//put grid in plot

xlabel('Time (t) in microseconds')

ylabel('i(t) for overdamped step RLC’)

title('i(t)=current through inductors')

scf()

plot(t,v) // plot time versus voltage

xgrid(2)

xlabel('Time (t) in microseconds')

ylabel('V(t) for overdamped step RLC ')

title('v(t)=voltage across inductor')

Note: The title places the text written in quatations as the title of the plot. Hence we can write any heading related to plot as title.

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