Equation for Breakpoint Frequency in High and Low Active Filters

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SUMMARY

The equation for breakpoint frequency in high and low active filters is derived as f = 1/(2πRC), where R represents resistance and C represents capacitance. The breakpoint frequency is defined as the point where the reactive impedance (j2πfC) equals the absolute value of the real impedance (R). This relationship is crucial for understanding filter behavior in electronic circuits.

PREREQUISITES
  • Understanding of basic electrical components: resistors and capacitors
  • Familiarity with the concept of impedance in AC circuits
  • Knowledge of frequency and its relation to reactive components
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the impedance formula for capacitors in AC circuits
  • Learn about the design and analysis of active filters using operational amplifiers
  • Explore the frequency response of filters and how to plot Bode plots
  • Investigate the effects of varying R and C values on filter performance
USEFUL FOR

Electronics students, circuit designers, and engineers involved in filter design and analysis will benefit from this discussion.

Midas_Touch
How do I derive the equation of the breakpoint frequency f = 1/2*pi*R*C for a high active filter and a low active filter? Do I use Vin/Vout?

R= resistance
C = Capacitance
Vin = Voltage input
Vout = Voltage output
 
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Midas_Touch said:
How do I derive the equation of the breakpoint frequency f = 1/2*pi*R*C for a high active filter and a low active filter? Do I use Vin/Vout?
R= resistance
C = Capacitance
Vin = Voltage input
Vout = Voltage output
The breakpoint is the frequency where the reactive impedance j2\pi fCis equal in absolute value to the real impedance R.
 

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