2) Graphical Analysis Question - Answer on a new sheet of paper Circuit Impedanc

Question

2) Graphical Analysis Question - Answer on a new sheet of paper Circuit Impedance as function of Driving Frequency 400 350 300 250 200 150 100 20 35 s0 65 80 95 110 125 140 155 170 185 200 215 230 245 260 275 290 305 320 335 350 365 380 395 410 Driving Frequency in Hertz a) What is the approximate value of the circuit resistance? b) Use the far left side of the graph to estimate the value of the circuit capacitance Use the far right side of the graph to estimate the value of the circuit inductance. c) d) Use the graph to estimate the resonance angular frequency of the circuit. e) Calculate the resonance frequency based on your answers to b) and c) and calculate the percent difference between this value and your result for d) Due no later than 8:20 a.m. on 11/30/2017

Explanation / Answer

(a) Resistance=minimum value of impedence=150 ohm

(b)at w=20,wL<<1/wC

So R^2+(1/wC)^2=400^2

We got C=2.14*10^(-5) F

Part c

At w=410

R^2+(wL)^2=400^2

We got L=0.14 H

Part (d)

At angular frequency

wL=1/wC

So w=2*pi*85=534.07 rad/s

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