Contents
How do you find the free response of a system?
The free response of a system is the solution of the describing differential equation of the system, when the input is zero. The easiest way to to this is to integrate the differential equation in Xcos. For a complete explanation how handle it, read the article How to solve (integrate) a differential equation in Xcos.
What do you mean by zero input and zero state response?
The zero input solution is the response of the system to the initial conditions, with the input set to zero. The zero state solution is the response of the system to the input, with initial conditions set to zero. The complete response is simply the sum of the zero input and zero state response.
What is the forced 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. The total response is the sum of the forced response plus the natural response.
What is the rule for input and output?
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3. A function table is another name for an input-output table, a table that shows how a value changes according to a rule.
What is the zero state of a system?
The zero state solution is the response of the system to the input, with initial conditions set to zero. The complete response is simply the sum of the zero input and zero state response.
What is the forced response of the system?
Which is a part of the zero state response?
The zero state part of the response is the response due to the system input alone (with initial conditions set to zero). The complete response is simply the sum of the zero input and zero state solutions.
How to find the zero state response of a parallel circuit?
Zero-state response means zero initial conditions. For the zero-state circuit shown earlier, zero initial conditions means looking at the circuit with zero inductor current at t < 0. You need to find the homogeneous and particular solutions to get the zero-state response.
What is the sum of zero input and zero state?
The zero state solution is the response of the system to the input, with initial conditions set to zero. The complete response is simply the sum of the zero input and zero state response. The question naturally arises: why split a single problem into two separate problems?
How do you find the zero state solution?
To find the zero state solution, take the Laplace Transform of the input with initial conditions=0 and solve for X zs (s). The initial conditions are the same as in Example 1b, so we don’t need to solve it again. The input is the same as in Example 1c, so we don’t need to solve it again.