Question #166740

. Consider a voltage amplifier having a frequency response of the low-

pass STC type with a dc gain of 60 dB and a 3-dB frequency of 1000

Hz. Find the gain in dB at f = 10 Hz


1
Expert's answer
2021-02-25T11:22:58-0500

Answer

DC Gain Av =60dB

According formula

AvdB=20log10Av60=20log10AvAv=1000A_{vdB}=20\log_{10}A_v\\60=20\log_{10}A_v\\A_v=1000

Now gain in frequency form

Av(f)=10001+(f/1000)2A_{v}(f)=\frac{1000}{\sqrt{1+(f/1000) ^2}}

For frequency f=10Hz

Av(f)=10001+(f/1000)2=10001+(10/1000)2=999.95=60dBA_{v}(f)=\frac{1000}{\sqrt{1+(f/1000) ^2}}\\=\frac{1000}{\sqrt{1+(10/1000) ^2}}\\=999.95 \\=60dB




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