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Homework #12: Do not turn these in since the final exam is coming up.
- Here is a set of Maxwell-like equations:
(a) Derive the wave equation for K.
(b) Derive the wave equation for L.
(c) Find the wave speed for these fields in terms of the constants 'a' and 'b.'
- Here is an electric field traveling in free space: E=zE0ei(ky+ωt) where z is the unit vector in the z-direction.
- Draw this electric field as it travels.
- Find the magnetic field B associated with this electric field.
- The frequency of this wave is f=100MHz. Find the wavenumber 'k' associated with this wave.
- Here is a magnetic field traveling in free space: B=xB0ei(kz+ωt) where x is the unit vector in the x direction.
- Draw this magnetic field as it travels.
- Find the electric field E associated with this magnetic field.
- Water has a dielectric constant ε=80.4*ε0 and a magnetic susceptibility μ=0.999992*μ0. Find the speed of light in water.
- Note: It should be easy for you to take the cross product of an E field and its associated B field and get the Poynting vector S=(ExB)/μ.
That's all for homework #11.