Question

MATLAB QUESTION

Find the general solution of the given application of differential equation using MATLAB.

NOTE: Screenshot the MATLAB ENVIRONMENT together with the CODES and FINAL ANSWERS.

PLEASE SOLVE USING MATLAB CODE! PLEASE SOLVE USING MATLAB CODE! PLEASE SOLVE USING MATLAB CODE! A circuit has in series an electromotive force given by E=50sin(20t) volts, R=5 ohms, I= 0.4 Henrys. If the initial currents is 0, find the current at time t> 0. Guaranteed upvote once done perfectly.

Answer 1

ANSWER:

• I have provided the properly commented code in both text and image format so you can easily copy the code as well as check for correct indentation.
• I have provided the output image of the code so you can easily cross-check for the correct output of the code.
• Have a nice and healthy day!!

CODE TEXT

% first order diffrential equation

% for E = 50*sin(20t), R = 5, I(inductance) = 0.4 Henrys, current=i is

% I (di/dt) + R.i = E(t)

% using syms and dsolve methods of matlab

syms curr(t)

% defining other given variables

I = 0.4;

R = 5;

E = 50*sin(20*t);

% defining equation

eqn = I*diff(curr,t) + R*curr == E;

% defining initial condition

cond = curr(0) == 0;

% solving equation using dsolve w.r.t initial condition

currSol(t) = dsolve(eqn,cond);

% finding current for T=1:100 using solution, converting sym solve to

% double

T = 1:100;

current = double(currSol(T));

% ploting the result

plot(T,current);

xlabel('Time');

ylabel('Current');

title('Time vs current for I (di/dt) + R.i = E(t)')

CODE/ENVIRONMENT IMAGE

OUTPUT IMAGE