Question

Does anyone have a link that explains how to do the problems in the attached file?

Thank you

Answer 1

The method to solve these problems is not explained in my textbook.

Answer 2

Hi. The below MAY help. I'm working on the algebra/arithmetic of the problems. I think that the short answer to question 1 in your encl is to mutliply the transfer functions for the C, I, and R together AS LAPLACE TRANSFORMS, and then divide by Q(S) to give you the input/output ratio. I THINK.
All you have to do then is to know or work out what the transfer function for each component in the chain is, and you will be able to work out the overall system response.
The LAPLACE TRANSFORM is a way of doing the whole thing by MULTIPLYING and/or ADDING successive transfer functions together – ALGEBRAICALLY.
Before the transforms, each part of the chain of components would have a DIFFERENTIAL EQUATION associated with it, and you’d have to chain those equations.
The DIFFERENTIAL EQUATION of component itself is derived from the physics of how the thing works.

The transfer function for a given component depends on what that component DOES. In electronics/electricity, the transfer function for a CAPACITOR depends on the CAPACITANCE of the capacitor, and is FREQUENCY DEPENDENT. (The transfer function is assumed to be TIME INDEPENDENT. This means that its frequency response will be the same now, and two years later.)
The transfer function for an electrical resistor depends on the RESISTANCE of the resistor. The resistance is designed to be the same at any frequency.
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