Contents
How do you find the forced response of a system?
The forced response of a system is the solution of the differential equation describing the system, taking into account the impact of the input. In our case the input is force F [N]. which translates into: at time t = 0 (when simulation starts), the position of the mass is 0 m and the speed is 0 m/s.
What is difference between forced response and natural response?
The forced response is what the circuit does with the sources turned on, but with the initial conditions set to zero. The natural response is what the circuit does including the initial conditions, but with the input suppressed.
How is the forced response of a circuit calculated?
The forced response is calculated with the sources turned on, but with the initial conditions (internal stored energy) set to zero. The natural response is what the circuit does including the initial conditions, (initial voltage on capacitors or current in inductors), but with input suppressed.
How is the natural response of a Circuit determined?
The natural response of the circuit will be dictated by the time constants of the circuit and in general roots of the characteristics equation (poles). Forced response is the system’s response to an external stimulus with zero initial conditions.
Which is an example of a forced response?
As the energy sloshes around we track what happens to voltage and current. If you connect an external energy source to a circuit its behavior changes. The circuit displays a natural response and a forced response. The ext {RC} RC step response is an example of natural plus forced response.
How to solve circuit driven by an external source?
The method for solving a circuit driven by an external source is: 1 Set the initial conditions to and solve the forced response. 2 Set the input to , and solve the natural response. 3 Add the forced response to the natural response to get the total response. 4 Use the initial conditions to resolve any constants. More