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Q: RC series circuit question ( No Answer,   0 Comments )
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Subject: RC series circuit question
Category: Science > Physics
Asked by: noggywoggy-ga
List Price: $5.00
Posted: 28 Jan 2003 11:50 PST
Expires: 02 Feb 2003 09:12 PST
Question ID: 149597
Derive an expression for the ratio of the output voltage over the
input voltage, Vout/Vin, in the circuit shown in Figure 1, in terms of
the resistances, R1 and R2, the capacitances, C1 and C2, and the
frequency, omega, of the input signal.   Use complex representation of the
impedances in the circuit and, thus, express the ratio, Vout/Vin, as a
complex number.

As I can't import images into Google Answers, I'll try my best to
explain what figure 1 is meant to be... A function generator connected
to two "components" in series with the output Vout across the first
"component" (Vin = V0 Sin('omega't)). Each "component" is simply a resistor
and a capacitor in parallel (R1 and C1 in parallel, and R2 and C2 in
parallel).

Request for Question Clarification by maniac-ga on 28 Jan 2003 16:22 PST
Hello Noggywoggy,

Hmm. Using ASCII art, does figure 1 look something like...
(A)
     +-R1-+  +-R2-+
     |    |  |    |
Vin -+-C1-+--+-C1-+- Vout

    ----------------(ground)
or (B)
Vin -- R1 -+- R2 -+- Vout
           |      |
          C1     C2
    -------+------+-- (ground)
or (C)
Vin ---+---+---+---+-- Vout
       R1  C1  R2  C2
    ---+---+---+---+-- (ground)
or something else?

I am inclined to think it is (A), but just wanted to be sure before
offering an answer.
  --Maniac

Clarification of Question by noggywoggy-ga on 28 Jan 2003 19:50 PST
Hi Maniac,

You were kinda right in instance (a), I'll have a go at drawing it here...


     +---R1---+
+----+        +----+------+
|    +---C1---+    |      |
|                  |      |
|                  |      |
Vin              +-+-+    |
|                |   |    |
|                R2  C2   Vout
|                |   |    |
|                +-+-+    |
|                  |      |
|                  |      |
+------------------+------+
|
|
Ground

Thanks!
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