Purely capacitive or pure integrator process definition and it's transfer function

The transfer function of a firstorder process is given by;




A first-order process with a transfer function given by above eqn. is also known as: first-order lag, linear lag, exponential transfer lag.

If on the other hand, a0 = 0, then from eqn. we take



which gives a transfer function



In such case the process is called purely capacitive or pure integrator