- #36
BiGyElLoWhAt
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I0 is the current into the circuit, I1+I2. I can post it, but it will take me a while.
So it is not a requirement that you must use this particular arrangement as your 4-element filter?BiGyElLoWhAt said:I chose this circuit to meet the requirements.
BiGyElLoWhAt said:I am assigned to design a circuit that peaks voltage at 10kHz and is less than half peak voltage at 3k and 30k. Only capacitors and resistors are allowed.
the impedance of a capacitor is z= 1/jwc. we know jw=s, so it can be rewritten as z=1/scBiGyElLoWhAt said:I chose this circuit to meet the requirements. So add in more stages to smooth the required points?
I don't see how you got this. Even so, you have a complex denominator, and I've never seen it left that way. Shouldn't you multiply by [s^2 C_2^2R_2^2 + 1 - s(2C_2R_2 +c_1R1)] / [s^2 C_2^2R_2^2 + 1 - s(2C_2R_2 +c_1R1)] to make the denominator real?
It's a fairly independent project, so we were given the requirements and left to choose a circuit ourselves.
As for how I arrived at the transfer function I have:
##I_0 =\frac{V_{in}}{R_1 + \frac{1}{\frac{1}{z_1}+\frac{1}{z_2 + R_2}}}## and algebra.
The step before subbing in z's you end up with
##\frac{V_{in}(z_1 +z_2 + R_2)}{R_1(z_1+z_2+R_2)+z_1(z_2+R_2)}##
I've seen S used, but I always just end up subbing in z_1 = 1/iwc_1 once I get to an appropriate form to do so.
BiGyElLoWhAt said:I've seen S used, but I always just end up subbing in z_1 = 1/iwc_1 once I get to an appropriate form to do so.
BiGyElLoWhAt said:I think I used 38 in my most recent analysis. Using v_out_2 as my v_in for my 2nd circuit. I'm not sure what you meant by accounting for the second capacitor. Would you elaborate on that, please?
BiGyElLoWhAt said:I've never seen a transfer function left with a complex denominator before, though.