Question

define time constant and state its importance ​

Answer 1

Answer:

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Explanation:

this answer will help you to understand

Physically, the time constant represents the elapsed the time required for the system response to decay to zero if the system had continued to decay to initial rate, because of the progressive change in the rate of decay the response will have actually decreased in value to in his time.

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Answer 2

Answer:

In physics and engineering, the time constant, usually denoted by the Greek letter τ, is the parameter characterizing the response to a step input of a first-order, linear time-invariant system. The time constant is the main characteristic unit of a first-order LTI system.

Explanation:

The time constant in first order circuit indicates the speed of the system. In LR circuit when we connect a step voltage source the magnetic field builds up slowly in inductor to a steady state value and it can be observed graphically as current in circuit builds up gradually