test2_spring06

# C 3 determine the complex transfer function ts for

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(C, 3. Determine the complex transfer function T(s) for the circuit shown below. Specify it as a function of the complex frequency, s, and the symbols for the resistors and capacitor. Plot the magnitude of the complex transfer function T(j(jJ) in decibels as a function of the frequency f of the source as f varies from 1 Hz to 1 MHz. The component values are Rl = 510 kD, R2 = 680 D, R3 = 18 kD, and C = 3 nF. Use the numerical values given for the resistors and capacitors. Remember: .~ [+(4 [~'1. + R~\\~3J C What is the polefrequencyin Hz? 2,. q I[ ~ U-~ 2. 9, ~ ~ 13 ~5~?sdf5 If(j(jJ) IdB = 20 IOglO IT(j(jJ) I R 1 e~ - 1 ~~~R2 .... ~ - zlfn.'2,.C c T T( s) = R1 - R(+R? \+A «, c.. What is the dc gain in decibels? What is the infinite frequency gain in decibels? Vo R3 jJ ~ I - ~7> ~ "" r 2Tl{ \ P ~ IT [(t~ t-R l Il Py]C ~~ Whattypeoffilteristhis? ~ ~ ~ ~ 7~

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r'"' ,-.., N ~ ~ ~ ( \0 0 ........ If) 0 ~ "<To ........ ~~ M 0 ........ NO ........ 0 ........ ........ ;0;... \..". / / t= / I , , ---. - I -l - " - ' 1'-1 - --... .J " '0 '}f t'-' N, , C "d a N '..c - J -I '8' , v I 8-p 5 1, T (oJ elf? i(?k') J
r' ~~ 4. In the circuit shown below a HewletJ-Packard 54602B oscilloscope (which has an input impedance which can be characterized by a 1 MD. resistor in parallel with a 13 pF capacitor) is being used to measure the voltage V AA'. The frequency of the sinusoidal source, e(t) = 50V2coswt Volts, is f = 4 kHz. Determine the percentage error due to oscilloscope loading in measuring the rms magnitude of this voltage. Use rms phasors in the calculations.

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