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QUESTION 2 Alinear circuit has a capacitance of 1.0 mF and an inductor of 1.0 H,

ID: 2268533 • Letter: Q

Question

QUESTION 2 Alinear circuit has a capacitance of 1.0 mF and an inductor of 1.0 H, if the frequency response of the voltage gain should stay the same and the capacitor is scaled to 68 F, what should the value of the inductor be? (0 decimals into QUESTION 3 A linear circuit has a capacitance of 1.0 mF and an inductor of 1.0 HH. If the frequency response of the voltage gain should be scaled by a factor of 335, what should the value of the capacitance be? (1 decimals in F) QUESTION 4 A series RLC circuit has a resistance of 20 , a capacitance of 27 decimal in krads = 103 rad/s) and an inductance of 71 H·What is the resonant frequency? (1

Explanation / Answer

then thefrequency response of voltage gain=68*10^-6

inductive reactance=2*3.14*fL

                            =WL

capacitance reactance=1/(2*3.14*fc)

                                  =1/(WC)

Then inductance=1/(2*3.14*fl)

                      XL =1/(2*3.14*fL)

                    X L=1/(2*3.14*1.0*10^-6)

                          =1/(6.28*10^-6)

                            =0.1*10^-6F

Third problem:

                          C=1.0*10^6

                           I=1.0*10^-6

                           Fc=335

thenXC=1/(2*3.14*335)

          =1/(2103.8)

          =47.5*10^-3F

Fourth problem:

                  Resistance=20ohm

                  Capacitance=27micro.F

                  Inductance=71micro.F

Then resonant frequency(F)r=1/(2*3.14*XC)

                                         =1/(2*3.14*27*10^-6)

                                         =1/(1.6956*10^-4)

                                          =5.897*10^3

                                          =5.897KHZ