Which of the following is the error transfer function for negative feedback?

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Concept:

The error signal in a negative feedback control system is the difference between the input and the feedback signal.

The transfer function for error is given by:

Where:

R(s) = Reference Input,

E(s) = Error Signal,

G = Forward Path Gain,

H = Feedback Path Gain.

Calculation:

Given a negative feedback system, the output is fed back through H and compared with input R(s).

The error signal E(s) is:

With unity feedback or feedback factor H, and forward gain G, the output becomes:

Hence, the error signal is:

Answer:

 is the correct error transfer function for a negative feedback system.

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