A circuit comprising a resistor and capacitor and a circuit comprising a resistor and an inductor are called RC and RL circuits, respectively. The differential equations resulting from analyzing RC and RL circuits are of the first-order.
A first-order circuit is characterized by a first-order differential equations.
An op amp circuit containing a storage element will exhibit first-order behavior. Differentiators and integrators are examples of first-order op amp circuits.
To find the step response of an RL circuit, the following is required:
When the DC source of an RL circuit is suddenly applied, the voltage or current source can be modeled as a step function, and the response is known as a step response.
To find the step response of an RC circuit, the following is required:
When the DC source of an RC circuit is suddenly applied, the voltage or current source can be modeled as a step function, and the response is known as a step response.
To find the natural response of an RL circuit, the following is required:
To find the natural response of an RC circuit, the following is required:
With the s-domain equivalents, the Laplace transform can be used to solve first-order and second-order circuits.