Asimple model of propagation of radio waves in the earth’s atmosphere or ionosphere consists of a flat earth at z = 0 and a nonuniform medium with = (z) for z > 0. consider the maxwell equations under the assumption that the fields are independent of y and can be written as functions of z times e i(kx−ωt) . (a) show that the wave equation governing the propagation for z > 0 is d 2f dz2 + q 2 (z)f(z) = 0 where q 2 (z) = ω 2 c 2 (z) − k 2 and f = ey for horizontal polarization, and where q 2 (z) = ω 2 c 2 (z) + 1 2(z) d 2 dz2 − 3 4 2(z) d dz 2 − k 2 and f = √ ez for vertical polarization

If a sphere and a cure have the same mass and are propelled up a ramp with the same force, which would travel father up the ramp? explain.

Beryl states that insulation with the smallest possible thermal conductivity is best to keep a house warm in winter, but worst for keeping a house cool in summer. sapphire insists the reverse is true: low thermal conductivity is good in the summer, but bad in the winter. which one, if either is correct? a. beryl, because low thermal conductivity results in low heat transfer. b. beryl, because low thermal conductivity results in high heat transfer. d. sapphire, because low thermal conductivity results in high heat transfer. e. neither, because low heat transfer is desirable both in summer and in winter.

You can watch static electricity in action by rubbing an inflated balloon against your hair. your hair will actually stand on its end! it does this because each hair becomes charged, and they all repel one another.