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In an electric motor, the input is an electrical signal (voltage), and the output is mechanical motion (rotation). What does the transfer function T(s
Question

In an electric motor, the input is an electrical signal (voltage), and the output is mechanical motion (rotation). What does the transfer function T(s) represent in this system?

A.

The ratio of electrical input to mechanical output

B.

The ratio of mechanical output to electrical input

C.

The sum of electrical input and mechanical output

D.

The product of electrical input and mechanical output

Correct option is B

In control systems, the transfer function T(s) is defined as the ratio of the Laplace transform of the output to the Laplace transform of the input, assuming zero initial conditions:T(s)=Output(s)Input(s)For an electric motor: Input  electrical signal (voltage) Output  mechanical motion (angular position or speed)Hence, the transfer function represents the ratio of mechanical output to electrical input.\text{In control systems, the transfer function } T(s) \text{ is defined as the ratio of the Laplace transform of the output to the Laplace transform of the input, assuming zero initial conditions:} \\[8pt]T(s) = \frac{\text{Output}(s)}{\text{Input}(s)} \\[10pt]\text{For an electric motor:} \\[6pt]\bullet \ \text{Input } \rightarrow \text{ electrical signal (voltage)} \\[2pt]\bullet \ \text{Output } \rightarrow \text{ mechanical motion (angular position or speed)} \\[8pt]\text{Hence, the transfer function represents the ratio of mechanical output to electrical input.}​​

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