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 |