Both Magnitude and Frequency Scaling

It’s not necessary to scale magnitude and frequency separately. Combination of Frequency and Magnitude can be done in a single equation.

\[
R_{\text{new}} = K_m \cdot R_{\text{old}}
\]

\[
L_{\text{new}} = L_{\text{old}} \cdot \frac{K_m}{K_f}
\]

\[
C_{\text{new}} = C_{\text{old}} \cdot \frac{1}{K_f \cdot K_m}
\]

Answer for Question:

Q.N What is Scaling in Filter Design? Why is it necessary? Derive the expression to determine the new values of circuit element while applying both magnitude and frequency scaling?

Part 1: Write Definition and Types: Scaling

Part 2: Magnitude Scaling: Magnitude Scaling

Part 3: Frequency Scaling: Frequency Scaling

Part 4: Combine to use above formula

 

Available Range of L, R and C

 

 

Capacitor

 

Inductor

 
 

Largest

Smallest

Largest

Smallest

Readily Available


1 µF


5 pF


1 mH


1 µH

Practically

10 µF

0.2 pF

10 mH

0.1 µH

Marginally Practically


500 µF


0.5 pF


1 H


50 mH

 

For Resistor: Size depends upon Power Distributions

Referred Range

1 – 100 K Ω

Lower Limit

0.1 – 1 K Ω

Upper Limit

100 – 500 K Ω

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