Reflection at a boundary of 2 media

Consider the boundary between media A and B. A single layer of a non-magnetic dielectric of refractive index n1, whose optical thickness is a quarter of a wavelength, is evaporated onto medium B. Show that the reflected and transmitted intensities of waves incident from medium A are now the same as if the medium B and the quarter-wave layer were replaced by a single medium of refracted index (n1^2)/nB (Consider normal incidence only). The single quarter-wave layer is now replaced with a stack of alternate quarter-wave layers of high (nH) and low (nL) refractive index. If the stack consists of 2N layers find the least value of N which gives a reflectance greater than 0.95 if nH = 2.4, nL =... click for more

To determine the electric field at a point due to a system of charges.

Two point charges are fixed on the y-axis at the locations shown in the figure above (see attachment). A charge of +q is located at y = +a and a charge of +2q is located at y = -a. Express your answer to parts (a) and (b) in terms of q, a, and fundamental constants. a.) Determine the magnitude and direction of the electric field at the origin b.) Determine the electric potential at the origin A third charge of -q is first place at an arbitrary point A (x = -x of original) on the x-axis as shown in figure 2 (see attachment) c.) Write expressions in terms of q, a, x_original, and fundamental constants for the magnitudes of the forces on the -q charge at point A caused by each of the... click for more

Polarization

Could you please explain this problem as I know only how to get polarisation of 2 single equal and opposite charges. Please do just the explanation about what needs to be done to solve this problem and leave the calculation up to me as in the problem I sent you before. The credit is 7 again but if you clock a slightly different amount, just tell me and I'll adjust that. Problem: Obtain an expression for the volume charge density ρ(r) associated with a non-uniform polarization P(r) in a dielectric material. The polarization in a spherical region of radius a is P(r) = (P0)r(a-r)R, where P0 is a constant and R is a unit vector in the outward direction from the center of the sp... click for more

Electromagnetic wave traveling through a medium

Could you please show me how to do the problem attached? Thank you.

Potential Difference - A car is traveling directly towards magnetic north

Please see the attached file - only assist with question 1 please.