[SOLVED] in s domain is s a frequency

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Hassan Munir

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how to solve for reactive component knowing a zero occurs at a particular frequency

So i have the following problem

How do i solve for a specific component given that the a zero occurs at a particular frequency

so the numerator of my Transfer function is "R3(sC2L1 +1)" and I am told that a zero occurs at 2.7 MHz

I know the values of R3 and C2, the only component I am missing is the inductance L1

my initial go at this was to set s=jw , w=2*pi*f , and set the above numerator to zero to solve for inductance however I get stuck here

L= -1/(jwC2) which doesn't make sense since inductance is not complex(I know reactance is) and it can't be negative.

So how I get solve for L1 using the information I know.

Please help
 
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Are you sure about the transfer function ? The dimension of sC2L2 is pF; probably the correct expression is s^2C2L2 that is dimensionless (unless the "1" of sC2L2+1 is pF). If it is so:

-w^2*C2*L2+1 = 0 ==> L2=1/(w^2*C2)
 

Dear Hassan Munir
Hi
Has you problem any circuit ?
And what do you mean by "L= -1/(jwC2)" ??!
If you tell me a bit more explanation , perhaps i can help you .
Best Wishes
Goldsmith
 

Thank you albbg!

You are correct I actually missed the extra s in my calculation and now i got s^2 in the numerator

cheers,
 

s is in rad/s (angular frequency). The factors 1/(RC), R/L and 1/sqrt(LC) are also in rad/s. sqrt(L/C) is in ohms.
 

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