Question

RE: Circuits, Third Edition, Problem 10P

Please explain why the frequency response of the scaled circuit is different from the prototype circuit. According to the textbook, magnitude scaling has no effect on the frequency response.

Answer 1

There are two types of scaling, 1) magnitude scaling 2) Frequency scaling. Now if we consider magnitude scaling then only changes in magnitude i.e. components value such as resistor, capacitor, inductor etc is takes place but frequency remains unaltered. But if we consider frequency scaling then, frequency related components changes it's value such as capacitor, inductor but value of resistor remains unchanged.

We can see that when we scale frequency then magnitude as well as frequency both changes it's value. Hence frequency response will also change.

Now magnitude scaling is nothing but scaling all parameters in a circuit by some factor. Which is as below,

Therefore as frequency is not changing in magintude scalscaling then frequency response will be same.

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