Question

Redesign the circuit shown below so that all resistive elements are scaled by a factor of 2000 and all frequency-sensitive elements are frequency-scaled by a factor of 104. 122 + IA 122 1H ele 1F = 1Ω w The value of R' is ΚΩ. The value of L'is H. The value of C' is UF.

Answer 1

Solution : For the circuit shown above here, the magnitude and frequency scaling are to be done at the same time therefore the new values of parameters calculation are to be done as shown below-

Solution - for the circuit shown in figure 12 1 312 31H ZIR Vo Here the magnitude or impedance seasing (Km) and frequency ssaning (Kf) are at the same time for done in the given circuit diagram shown above Given that - 2000 = 10. km Kf Where ' Koy and Kt" srprelete the magnitude scaling and frequency scaling factor respectively. Now, for resistive element a The new value of necistor Bestwired after seating a R = Km x R R Here all resistor are equal to R=12 R. = 2000 X R' = 2000 2 → R = 2K2 The new value of for inductor element inductor obrained after scalling Here L=1H 시 Henry ke L'= 0.2 Henry 10,000 KmL 2000 H

for capacitor element on of capacito obrained after sealing The new value Here C =lf c =((1Km) farad КЕ 1/2000 (19000) 2x102x104 +0.5X107 = 0.05X106 F Cor) c'=005HF o's Valves essaired due to sealing R = 262 L = 0.21 | c'=0:05HF circuit ŭ shown below New redesign arh In [0.05HF 2K2V 16 QR2 0:24 Answer'