Question 10.2: Figure 10.10 shows a low pass filter. Calculate the cut-off ......

Figure 10.10 shows a low pass filter. Calculate the cut-off frequency, and the magnitude of the output voltage if the frequency of the input voltage is 400 Hz.

10.10
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The cut-off frequency is,

f_{c}={\frac{1}{2\pi R C}}={\frac{1}{2\pi\times10\times10^{3}\times0.03\times10^{-6}}}=530.52\,\mathrm{Hz}     (10.55)

The output voltage is,

|V_{0}|={\frac{|V_{i}|}{\sqrt{\left({\frac{f}{f_{c}}}\right)^{2}+1}}}={\frac{120}{\sqrt{\left({\frac{400}{530.52}}\right)^{2}+1}}}=96\,\mathrm{V}     (10.56)

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