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Famous examples of this effect are found in the [[Bay of Fundy]], where the world's highest tides are reportedly found, and in the [[Bristol Channel]]. Large tides due to resonances are also found on the Patagonian Shelf and on the N.W. Australian continental shelf.
The speed of long [[waves]] in the ocean is given, to a good approximation, by <math>\scriptstyle\sqrt{gh}</math>, where ''g'' is the acceleration of gravity and ''h'' is the depth of the ocean
<ref name=Segar>
{{Cite book
| last = Segar
| first = D.A.
| authorlink =
| coauthors =
| title = Introduction to Ocean Science
| publisher = W.W. Norton
| date = 2007
| location = New York
| pages = 581+
| url =
| doi =
| id =
| isbn = }}</ref>
<ref name=Knauss>
{{Cite book
| last = Knauss
| first = J.A.
| authorlink =
| coauthors =
| title = Introduction to Physical Oceanography
| publisher = Waveland Press
| date = 1997
| location = Long Grove, USA
| pages = 309
| url =
| doi =
| id =
| isbn = }}</ref>
<ref name=Defant>
{{Cite book
| last = Defant
| first = A.
| authorlink =
| coauthors =
| title = Introduction to Physical Oceanography, Vol. II
| publisher = [[Pergamon Press]]
| date = 1961
| location = Oxford
| pages = 598
| url =
| doi =
| id =
| isbn = }}</ref>.
For a typical continental shelf with a depth of 100 m, the speed is approximately 30 m/s. So if the tidal period is 12 hours, a quarter wavelength shelf will have a width of about 300 km.
With a narrower shelf, there is still a resonance but it has less effect at tidal frequencies. However the effect is still enough to help explain why tides along a coast lying behind a continental shelf are often higher than at offshore islands in the deep ocean. The strong tidal currents associated with resonances also mean that the resonant regions are the areas where most tidal energy is dissipated.
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* [[Standing wave]]
* [[Cavity resonator]]
==References==
<references />
{{physical oceanography}}
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