Verify by substitution that the following equations are solutions to the wave equationsa²B= HoEo += HoEo +, respectively:andE= EmaxCos(kx – wt)B= BmaxCos(kx – wt)

Solution: Given equations: E=Emaxcoskx-ωt.........(a) B=Bmaxcoskx-ωt.........(b) We have to prove:…

Answered: Verify by substitution that the…

Verify by substitution that the following equations are solutions to the wave equations = HoEo + dx2 and dx? = HoEo + dt2 respectively: E = EmaxCos(kx – wt) B= BmaxCos(kx - wt)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 92AP: Show that the wave equation in one dimension 2fx2=1v22ft2 Is satisfied by any doubly differentiable...

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Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

Question

Verify by substitution that the following equations are solutions to the wave equations
a²B
= HoEo +
= HoEo +
, respectively:
and
E= EmaxCos(kx – wt)
B= BmaxCos(kx – wt)

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