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It's me
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Homework Statement
In a region of empty space, the magnetic field is described by ##\vec{B} = B_0e^{ax}\sin{(ky-\omega t)} \hat{z}##. Find the speed of propagation ##\vec{v}## of this field.
Homework Equations
##\Delta \vec{B} = \frac{1}{v^2}\frac{d^2\vec{B}}{dt^2}## , ##k=\frac{\omega }{ v}##
The Attempt at a Solution
I'm not sure of a way to calculate the velocity. Do I have to take into account the equation, or because the wave is propagating in empty space can I simply say ##v=c##? And I know the direction of propagation would be ##\hat{y}## if the term ##e^{ax}## didn't exist, but is it still ##\hat{y}## with it? I really don't understand how that term affects the velocity of propagation.