First-order slope

Tags

• Electronics
• Filters and frequency response
• physics
• Electronics formula
• physics formula

Detail

Variables

• $H(j\omega)$dimensionless
• $\omega$rad/s
• $f_c,f_0$Hz
• $R,C,L$Ω, F, H
• $Q$dimensionless.

Conditions

• The −20 dB/dec slope applies in the roll-off band of a first-order low-pass; a high-pass rises +20 dB/dec below fc.

Conventions

• dimensionless, Hz or dB

Related formulas

• Related

  Gain in decibels

  $$G_{\mathrm{dB}}=20\log_{10}|H|$$
  Open formulaOpen in section

• Related

  RLC band-pass magnitude

  $$|H(j\omega)|=\frac{R}{\sqrt{R^2+\left(\omega L-\frac{1}{\omega C}\right)^2}}$$
  Open formulaOpen in section

• Related

  Impedance

  $$Z=R+jX$$
  Open formulaOpen in section

• Related

  Admittance

  $$Y=\frac{1}{Z}$$
  Open formulaOpen in section