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ECE 100
Final Examination Example
Winter 2011
This examination is closed book, you may not use any reference materials or any calculator.
Be sure to show your work carefully. No credit will be given for unsupported answers.
1
(a) Write the transfer function H(s) for a secondorder highpass Flter in normalized form.
(b) Write H(
ω
),
H(
ω
)
2
and phase(H(
ω
)).
(c) Draw a Bode plot of H(
ω
)
2
and phase(H(
ω
)) assuming
ω
0
= 1 and
ζ
= 1.5.
(d) Show how to realize any H(s) with
ζ
> 0 with a passive R,L,C circuit. Show H(s) in terms of R,L, and C.
2
. ±ind the input or output impedance of the circuits sketched below assuming the opamp has a Fnite voltage gain
A(s) and R
O
or R
IN
as indicated.
(a) R
O
= 0
(b)
R
IN
→
∞
(c) R
IN
→∞
3(a)
±ind the transfer function of the circuit sketched to the right
assuming the opamp is ideal.
(b)Show that any damping factor can be realized.
(c)What values of RA and RB will cause it to oscillate?
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This document was uploaded on 09/24/2011.
 Spring '09

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