page_title: Passive integrator circuit
section_title: Transfer function
hierarchical_section_title: Passive integrator circuit / Transfer function
caption_attribution_description: English: Transfer function
context_page_description: Passive integrator circuit is a simple four-terminal network consisting of two passive elements. It is also the simplest low-pass filter.
  We'll analyze only the first circuit; the second is very similar.
context_section_description: A transfer ratio is a gain factor for the sinusoidal input signal with given frequency.
  A transfer function shows the dependence of the transfer ratio from the signal frequency, given that the input signal is sinusoidal.
  
  According to Ohm's law,
  
  where  and  are input and output signals' amplitudes respectively, and  and  are the resistor's and capacitor's impedances.
  
  Therefore, the complex transfer function is
  where
  Amplitude transfer function
  Phase transfer function
  Transfer functions for the second circuit are the same (with ).
caption: Amplitude and phase transfer functions for a passive integrator circuit
exif: {}