EM problem

Please provide a complete and detailed solutiong to t he following problem. A point dipole p is embedded at the center of a sphere of linear dielectric material... Find the electric potential inside and outside the sphere. Please see attached.

Electromagnetic Waves and Maxwell's Equations

1. Explain how the wave equation arises out of Maxwell's Equations. Relate your discussion to the following simulation of an electromagnetic wave: Electromagnetic wave 2. Explain the effect of the speed of light on electromagnetic waves. 3. Explain how you could find the frequency of an electromagnetic wave if you know the wavelength and the velocity of the electromagnetic wave.

How To understand how electric field intensity due to an infinite plane of charges is constant at all points.

Electic intensity due to an infinitely charged plane is charge density/2.permittivity and it is independent of distance .Explain.

Magnetizing Force

A) What change in magnetizing force is required to decrease the flux density of magnetic material from a saturation in the positive direction to zero. B) Also same question, however magnetic force is required to reverse the direction of the magnetic fieldfrom saturation in the positive direction in the direction to saturation in the negative direction.

Direction of an antenna of a radio transistor

The antenna of a radio transistor is held vertical always.How is this related with properties of an electromagnetic waves?