What is a impulse response of a circuit?

An impulse input is a theoretical signal that is infinitesimally short in duration but has an area (integral) of 1. It represents an instantaneous, infinitely high spike. In reality, such an impulse is not physically realizable, but it serves as a useful mathematical tool for analyzing linear time-invariant systems, including electrical circuits.

When an ideal impulse is applied to a circuit, it excites the circuit, and the system responds over time. The impulse response is the output waveform of the circuit as it settles to its final steady-state response after the impulse input is applied.

The impulse response of a circuit is a crucial concept in understanding and characterizing the behavior of linear time-invariant systems. It provides important information about the system's frequency response, stability, and overall behavior, which is valuable in various engineering applications, such as filter design, control systems analysis, and communications systems. Impulse responses can be measured experimentally or calculated analytically, depending on the complexity of the circuit and the available tools and techniques.