Mathematica Asked by Granger Obliviate on April 2, 2021
I’m trying to find the -3 dB frequency of a filter in Mathematica. Yet, my code doesn’t seem to work as it produces imaginary values for the frequency.
Tfilter=(9.36*^6 + 44226.*s + 9.477*s^2)/(2.35521*^9 + 495801.*s + 9.477*s^2)
Eqn1 = 20*Log[10, Abs[Tfilter /. s -> I*2*Pi*f]] == -3
Solve[Eqn1, f]
What am I doing wrong? Is there any additional command I shall give to Mathematica?
Clear["Global`*"]
Tfilter = (9.36*^6 + 44226.*s + 9.477*s^2)/(2.35521*^9 + 495801.*s +
9.477*s^2) // Rationalize // Simplify;
Since f
is real, use ComplexExpand
to eliminate Abs
Eqn1 = 20*Log[10, Abs[Tfilter /. s -> I*2*Pi*f]] == -3 // ComplexExpand //
Simplify;
sol = Solve[Eqn1, f, Reals] // N
(* {{f -> -7530.29}, {f -> 7530.29}} *)
Answered by Bob Hanlon on April 2, 2021
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