OurBigBook About$ Donate
 Sign in Sign up

Antinode

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Partial differential equation Wave equation Normal mode
2026-10-14  0 By others on same topic  0 Discussions Create my own version
An antinode is a position of maximum oscillation amplitude in a standing wave. For un​=Asin(nπx/L)cos(ωn​t+φ), the antinodes occur at
xj​=2n(2j+1)L​,j=0,1,…,n−1,
(1)
where the amplitude is ∣A∣. They sit halfway between consecutive nodes of a standing wave. For the first normal mode, the sole antinode is x=L/2. It reaches zero displacement at a quarter oscillation period while moving fastest, which illustrates why an antinode is defined by oscillation amplitude rather than instantaneous height.

 Ancestors (7)

  1. Normal mode
  2. Wave equation
  3. Partial differential equation
  4. Analysis
  5. Area of mathematics
  6. Mathematics
  7.  Home

 Incoming links (3)

  • Acoustic wavelength measurement
  • Antinode
  • Node (physics)

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook