In an open loop transfer function the highest power of 's' in the denominator when written as a standard polynomial in 's' is

The correct answer is 1

Explanation:

In an open-loop transfer function, when written as a standard polynomial in 's', the highest power of 's' in the denominator represents the Order of the system.

• Order of the system: This is defined as the highest power of 's' in the denominator polynomial of the transfer function, after cancelling any common factors in the numerator and denominator. It indicates the number of energy storage elements (like capacitors or inductors in electrical systems, or masses and springs in mechanical systems) in the system and is crucial for determining the system's dynamic behavior, such as stability and transient response.
• Type of the system: This refers to the number of poles at the origin ($s=0$) in the open-loop transfer function. It's related to the steady-state error characteristics of the system for various types of inputs.
• Number of differentiators/integrators: These relate to specific components, but the highest power of 's' in the denominator describes the overall system order, not just the number of differentiators or integrators, although integrators contribute to the order by adding poles at the origin.