# q12 - at which C F starts to become a short circuit. What...

This preview shows pages 1–2. Sign up to view the full content.

ECE 3050 Analog Electronics Quiz 12 April 8, 2009 Professor Leach Name Instructions. No calculators are allowed on this quiz. Print your name in the space above. Honor Code: I have neither given nor received help on this quiz. Initials 1 of 2. Given the transfer function T ( s )=40 ( s/ 300) 2 ( s/ 300) 2 + b ( s/ 300) + 1 (a) For the case b =2 , factor the denominator of the transfer function. Sketch and label the Bode magnitude plot, both the straight-line approximation and the smooth curve, on the log-log scales below. (b) On the same graph, sketch and label the plot for the case b =0 . 1 . Why is it that you do not factor the denominator for this case? Answer: Because the roots are complex. 1000 0.01 T a s n T b s n 100000 1 ω n 1 10 100 1 10 3 1 10 4 1 10 5 0.01 0.1 1 10 100 1 10 3 2o f2 . (a)Atdc(zerofrequency) ,whatis V o /V i ? Answer: R F / ( R 1 + R 2 ) (b) As ω is increased, it is given that

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: at which C F starts to become a short circuit. What is V o /V i in the band between these two frequencies? Answer: − R F /R 2 (c) For ω → ∞ , what is V o /V i ? Answer: (d) Use the information from parts (a) through (c) to sketch the general form of the straight-line approximation to the Bode magnitude plot. (e) Solve for the transfer function for V o /V i and use it to solve for the equations for the break frequencies 1 in the Bode plot of part (d). V o V i = − Z F Z 1 = − R F 1 + R F C F s ( R 1 + R 2 ) 1 + R 1 C 1 s 1 + R 1 k R 2 C 1 s = − R F R 1 + R 2 1 + R 1 k R 2 C 1 s (1 + R 1 C 1 s ) (1 + R F C F s ) Zero at ω = 1 / ( R 1 k R 2 C 1 ) . Poles at ω = 1 /R 1 C 1 and ω = 1 /R F C F 2...
View Full Document

## This note was uploaded on 05/26/2011 for the course ECE 3050 taught by Professor Hollis during the Summer '08 term at Georgia Tech.

### Page1 / 2

q12 - at which C F starts to become a short circuit. What...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online