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AC Circuit:

Plot the magnitude of H(w) as a function of w over an appropriate
frequence range, for the circuit shown. Display values of |H(0)|,
|H(infinite)|, and the magnitude of H(w) at other critical
frequencies.

                       |-------- R1 -------|
                       |                   |
                  _____|____ L1 ___ C1 ____|___________________Vout
                  |                        |           |
                  |                        L2          |       
                 VIN = 1v (ac)             |           |
                  |                        C2          R2
                  |                        |           |
                  |________________________|___________| 
                  |
                ------
                 --- GND
                  - 

L = 15.9 mH
C = 2.49 pF
R = 1K

H(jw) = VOUT/VIN

---

Clarification of Question by alpa_sanjay-ga on 09 Mar 2003 16:10 PST

Reference Book: MathCAD 2000 Author: Ronald W Larsen
                Orcad PSpice Author: John Keown
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This circuit consists of 2 identical networks in series, each made up
of R,L,C with the output being the voltage on one of them. The
transfer function is therefore 0.5 + j0 from dc to infinity. The need
to bring to bear network analysis software is unclear.

I can also see that the software may not give you that rather boring
answer.  There is a series resonance between L and C at 800 kHz.  With
no losses in either the L or the C, the Q is infinite. At the resonate
frequency, the newtwork appears as a short circuit on the 1 V source
and the voltage on both caps and inductors will be infinite.  Can the
software handle that?

It is hard to imagine a real physical inductor of 15.9 mH which has no
loss and has parasitic capacitance small compared with 2.49 pF. A real
inductor would need a more elaborate model in this circuit.