3. Spherical waves: Consider electromagnetic radiation from a "pointlike" antenna, e called spherical waves, rather than plane waves. Here is a simplified mathematical formula for such a spherical wave (simplified meaning that it is accurate for large distances from the origin) sine Ē(r,0,0,t) = A² -cos(kr-cot) Why would we call this a "spherical wave"? Describe it in words or pictures as best you can. Far from the origin, how is it similar to/different from a polarized traveling plane wave? - Show that this wave satisfies Gauss' law in free space. Then use Faraday's law to find the formula for the corresponding magnetic field. Since we are assuming we are far from the origin, you can (and should!) toss terms that appear which drop off FASTER than 1/r...

3. Spherical waves: Consider electromagnetic radiation from a "pointlike" antenna, e called spherical waves, rather than plane waves. Here is a simplified mathematical formula for such a spherical wave (simplified meaning that it is accurate for large distances from the origin) sine Ē(r,0,0,t) = A² -cos(kr-cot) Why would we call this a "spherical wave"? Describe it in words or pictures as best you can. Far from the origin, how is it similar to/different from a polarized traveling plane wave? - Show that this wave satisfies Gauss' law in free space. Then use Faraday's law to find the formula for the corresponding magnetic field. Since we are assuming we are far from the origin, you can (and should!) toss terms that appear which drop off FASTER than 1/r...