Proof of Maxwell's Equation Wave Behavior | Maxell Eqn Help

[royayash]

hello
Can someone write me the proof, according to Maxwell's equation for magnetic field behaves like a wave??
thanks

 

[Meir Achuz]

There are a number of steps, but the derivation is in most electromagnetism textbooks.

 

[Dale]

http://farside.ph.utexas.edu/teaching/em/lectures/node48.html

 

[Bill_K]

∇·B = 0
∇ x B = 1/c ∂E/∂t

∇ x (∇ x B) = 1/c ∂(∇ x E)/∂t
∇∇·B - ∇²B = -1/c²∂²B/∂t²
∇²B -1/c²∂²B/∂t² = 0

showing that B satisfies the wave equation.

 

[royayash]

thank u !