The formula isthe_d said:The problem is for a first-order instrument exposed to a step change of 100 units. If after 1.2 seconds the instrument indicated 80 units, estimate the instrument time constant.
the problem I am having is chosen the correct formula for the time constant, any suggestions?
The time constant is a measure of the rate at which a system responds to a change in its input. It is the time it takes for the system to reach 63.2% of its final value after a step change in the input.
The time constant is directly related to the time response of a system. A system with a smaller time constant will respond faster to a change in input compared to a system with a larger time constant.
The time constant of a system is affected by the system's physical properties, such as its mass, resistance, and capacitance. It is also influenced by the type of input and the external environment.
Time constant is an important concept in various fields of science and engineering, such as electronics, physics, and biology. It helps in understanding and predicting the behavior of dynamic systems and is used in designing and optimizing processes and systems.
The time constant can be calculated by dividing the product of the system's resistance and capacitance by the applied voltage or current. It can also be determined from the slope of the system's response curve on a graph.