2- A uniform, parallel polarized electromagnetic wave propagating in air, impinges a medium with ɛ=5ɛ0 and u=2µ0 as shown in the figure. Electric field is given as: Air Medium Е — (8а, 6a.) sin (wt – 4y – 3z) V/m - (e = E0, u = Lo) Find: a) Incidence angle of the incident wave. b) Reflected and transmitted electric field expressions. 0, c) Time average powers in air and medium.

Unpolarized light, of intensity Io is incident on a pair of polarizers as shown below. The trans- mission axis of the first polarizer is vertical. The transmission axis of the second polarizer is unknown. Unpolarized light, intensity lo X Observer Polarizers (a) What should be the orientation of the second polarizer such that no light reaches the observer. If this is not possible, say so explicitly. (b) What should be the orientation of the second polarizer such that light of intensity Io/2 reaches the observer. If this is not possible, say so explicitly.

Red light has an magnetic field component amplitude Bm = 8 μT, and  wavelength λ= 440 nm - calculate the frequency of the light

3. Electromagnetic waves from a radio station pass through an open window of a house. The square window has side length 0.75 m and the waves pass through perpendicular to the window's area. The electric field is measured at the window and found to be 0.02 V/m. In air, we can use the vacuum permeability = 4 x 10-7 H/m. (i) What is the magnitude of the Poynting vector, S, for the radio waves passing through the window? (ii) How much energy do the radio waves carry through the window during a 2-minute-long broadcast of BBC Radio 4's shipping forecast? [Hint: think of the units of S [units = (J/s)/m²] and Energy [units = J].