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| + | == Linear System == | ||
| + | <pre> | ||
| + | % The amount of charge going through the Resistor1 is directly proportional | ||
| + | % to time | ||
| + | t = [0:0.01:15]; | ||
| + | R1 = 1000; % Ohms | ||
| + | V = 50; % Volts | ||
| + | I = V/R1; | ||
| + | Q = I * t; | ||
| + | plot(t,Q) | ||
| + | title('Original') | ||
| + | figure | ||
| + | %When the switch is closed at t=2 | ||
| + | Q = I * (t-2); | ||
| + | %Or Equavalently, | ||
| + | t = [2:0.01:17]; | ||
| + | Q = I * t; | ||
| + | plot(t,Q) | ||
| + | title('Time Shifted by 2 sec')</pre> | ||
[[ image:circuit.jpg _ECE301Fall2008mboutin]] | [[ image:circuit.jpg _ECE301Fall2008mboutin]] | ||
| − | [[ image: | + | [[ image:PartC-1.jpg _ECE301Fall2008mboutin]] |
| + | |||
| + | == Non-Linear System == | ||
| + | <pre> | ||
| + | % Position of a falling object from a 200 m high cliff. | ||
| + | t = [0:0.01:6.8]; | ||
| + | y = 200 - 1/2*9.8.*t.^2; | ||
| + | plot(t,y); | ||
| + | xlabel('Time(sec)') | ||
| + | ylabel('Position from the Cliff(m)')</pre> | ||
| + | |||
| + | [[ image:cliff.jpg _ECE301Fall2008mboutin]] | ||
| + | In this case, there exist positive time and negative time that would satisfy y = x(t). Thus, this relationship is non-linear. | ||
Latest revision as of 18:24, 9 September 2008
Linear System
% The amount of charge going through the Resistor1 is directly proportional
% to time
t = [0:0.01:15];
R1 = 1000; % Ohms
V = 50; % Volts
I = V/R1;
Q = I * t;
plot(t,Q)
title('Original')
figure
%When the switch is closed at t=2
Q = I * (t-2);
%Or Equavalently,
t = [2:0.01:17];
Q = I * t;
plot(t,Q)
title('Time Shifted by 2 sec')
File:Circuit.jpg ECE301Fall2008mboutin File:PartC-1.jpg ECE301Fall2008mboutin
Non-Linear System
% Position of a falling object from a 200 m high cliff.
t = [0:0.01:6.8];
y = 200 - 1/2*9.8.*t.^2;
plot(t,y);
xlabel('Time(sec)')
ylabel('Position from the Cliff(m)')
File:Cliff.jpg ECE301Fall2008mboutin In this case, there exist positive time and negative time that would satisfy y = x(t). Thus, this relationship is non-linear.
