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− | [[ image: | + | == Linear System == |
− | [[ image: | + | <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: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.