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Q&A Band pass filter given cutoff frequency and bandwidth

My mistake was taking the third relationship $$ \frac{1}{RC} $$ which says how to find the bandwidth of a parallel RLC filter but we have a series RLC filter. Now solving the system : $$ LC = 100...

posted 1y ago by MissMulan‭  ·  edited 1y ago by MissMulan‭

Answer
#2: Post edited by user avatar MissMulan‭ · 2022-07-15T18:16:15Z (over 1 year ago)
  • My mistake was taking the third relationship $$ \frac{1}{RC} $$ which says how to find the bandwidth of a parallel RLC circuit but we have a series RLC series.
  • Now solving the system : $$ LC = 100020001 , \frac{R}{L} = 2 $$
  • gives us the correct ratio between C1 and R1 and L1 with more detail:
  • C1:L1 = 100020001:1
  • C1:R1 = 100020001:2
  • My mistake was taking the third relationship $$ \frac{1}{RC} $$ which says how to find the bandwidth of a parallel RLC filter but we have a series RLC filter.
  • Now solving the system : $$ LC = 100020001 , \frac{R}{L} = 2 $$
  • gives us the correct ratio between C1 and R1 and L1 with more detail:
  • C1:L1 = 100020001:1
  • C1:R1 = 100020001:2
#1: Initial revision by user avatar MissMulan‭ · 2022-07-15T18:15:44Z (over 1 year ago)
My mistake was taking the third relationship $$ \frac{1}{RC} $$ which says how to find the bandwidth of a parallel RLC circuit but we have a series RLC series.

Now solving the system : $$ LC  = 100020001 , \frac{R}{L} = 2 $$ 

gives us the correct ratio between C1 and R1 and L1 with more detail:

C1:L1 = 100020001:1

C1:R1 = 100020001:2