Find the difference in gain magnitude for a filter ,if it is the response obtained for frequencies f1=200Hz and f2=3kHz. Specification: AF=2 and fH=1kHz.

Find the difference in gain magnitude for a filter ,if it is the response obtained for frequencies f1=200Hz and f2=3kHz. Specification: AF=2 and fH=1kHz. Correct Answer 1.56 dB

When f1=200Hz, VO(1)/Vin =AF/√ =2/√ =2/1.0198. => VO(1)/Vin =1.96 =>20log|(VO/Vin)|=5.85dB. When f=700Hz, VO(2)/Vin= 2/√ =2/1.22=1.638. => VO(2)/Vin =20log|(VO/Vin|=20log(1.638) = 4.28. Therefore, the difference in the gain magnitude is given as VO(1)/Vin-VO(2)/Vin =5.85-4.28 =1.56 dB.
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