In this assignment you will be modelling a series RLC Resist

In this assignment you will be modelling a series RLC (Resistor-Inductor- Capacitor) circuit. The main goal is to solve the system using programming skills in Matlab and visualize the results. Consider a series RLC circuit (one that has a resistorR, an inductorL, and a capacitor \'C) with a constant driving electro-motive force (emf) E. The current equation for the circuit is di dt Differentiating, we get the second order differential equation, di di 1 The second order differential equation can be approximated by the following difference equations, which calculate current , and change in current y: and epresents the step size between two time instants and n represents each time instant.

Solution

Main Program(Main_Prog_RLC.m):

clc
close all;
R = input(\'Enter the value of Resistance:\');
L = input(\'Enter the value of Inductance:\');
C = input(\'Enter the value of Capacitance:\');
tinc = input(\'Enter the change in Time-period:\');
n = input(\'Enter the no. of iterations:\');
i= input(\'Enter the initial value of I:\');
j=input(\'Enter the initial value of J:\');
[I,J] = RLC(R,L,C,tinc,n,i,j);
disp(\'The values of I(n) are:\');
disp(I);
disp(\'The values of J(n) are:\');
disp(J);

Function Program(RLC.m):

% Creating a function program \"RLC\" for calculation of currents and change
% in curretns
function [I,J] = RLC(R,L,C,tinc,n,i,j)
for p=2:n
I(1)=i; % Initial current value from user input
J(1)=j; % Initial change in current value from user input
J(p)=J(p-1)-(tinc/L)*(R*J(p-1)+(1/C)*I(p-1)); % difference equations given in queston
I(p)=I(p-1)+J(p)*tinc; % difference equations given in queston
end