Dan Stanger wrote:
>This looks like a RLC bandpass circuit, evaluated at some special point.
>
that's indeed what it is, the evaluation is at the point where the gain is
at its maximum (calculated also with maxima)
u_i------L----- u_o
^ |
| C
| |
| R
| |
___________________|
>Usually, with problems like this, there are high and low Q
approximations,
>
It's a low Q version, however the high Q version is also interesting
>and you may be able to expand the solution in terms of this.
>Several examples of this may be found in any circuit analysis text,
>written before computers were in common use, such as Brenner
>and Javid.
>Why don't you describe the problem you are trying to solve,
>as it may suggest a simplification process.
>
I just want a simple formula for the maximum gain
further suggestions are welcome,
regards,
Hugo
>Dan Stanger
>Hugo Coolens wrote:
>
>>Can anyone tell me here how to simplify the following result obtained
with
>>maxima?
>>
>>h(s):=(1+r*c*s)/(1+r*c*s+l*c*s^2);
>>s:%i*sqrt(sqrt(l^2+2*c*l*r^2)/l-1)/(r*c);
>>abs(h(s));
>>(answer 3 times positive to questions)
>>
>>I'd like to see a simplified version of abs(h(s)), can anyone here show
>>how to proceed?
>>
>>regards,
>>hugo
>>
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>>
>>
>>
>>
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