 
  
  
  
  
Figure 3.2 shows one possible low-pass filter. The circuit is essentially a frequency-sensitive voltage divider. At high frequencies the output behaves as if it is shorted while at low frequencies the output appears as an open circuit.
   
 
Figure 3.2:  RC low-pass filter
Mathematically we have
  
 
  
 
The approximations are
  
 
  
 
  
 
At the corner
  
 
Therefore
  
 
is the corner frequency of the filter. At the corner frequency
  
 
  
 
We say that the output is down by   at the corner
frequency.
  at the corner
frequency.