Question

Given, a circuit with R4 = 30, R2 = 1019, L = 2 H, and C = 0.1 F. After the circuit is magnitude-scaled by 700 and frequency-scaled by 106, find the new values of the circuit elements. The value of Ri'is 02. The value of R2'is ko. The value of L'is ul. The value of C'is nF.

Answer 1

Solution We are given the parameters [ given RI L= 2H C = 0.1F 3.12 R 10os 6 Now, it is given that Circuit is magnitude Scaled by 700 and frequency scaled 106 Now Sime values after magnitude scaling becomes (Rm Rm = KMR magnitude » Scaling Cm=c thus Rmi C= Capacitanes . Lm = KM L where KM= 700 here & R= resistane L= inductone KM 3X700 21002 100 X 700= 700002 Rima Lm См H u 2 X 700- 1400 - = Oi! 700 0.0001428. = 142.8 4F value after frequency scaling 2 becomes where Rp =R ز = LL Ke = 106 Kf (f = FR here here Resistance Value does not gets changed thus Rf, = R' = Rm. = 2002 Rfa = R₂ = Rm2 = 70 kg

> Lp = L' = 1400 142:8 X10 1400 UH 106 » Cp = C'= 142.8 X10 142.8x1012F 106 -3 nF = 0.1428 nF Thus, the required values are the value of R, is 2100 12 Value of Rå 70 k si the value of L 1400 MH the value of e' is 0.1428 DF is the is Summary thus all the required and frequency oscaling required values using magnitude arco osealing were calculated out
​​​​​​therefore both magnitude scaling and frequency scaling was done to get the required values.