# Category: electro magnetics #### 6-(7points) An EM wave travels in lossless dielectric with the electric field component Is incident on a lossless dielectric slab a)The angle of incidence b) The relative permittivity of medium 1. c) The incident magnetic field.

... #### 2.(5points) A medium is characterized by ? a) Whether the medium is a lossy dielectric, good conductor, or lossless dielectric, Justify your answer. b) the skin depth c) the propagation constant.

... #### 1.(3points) In a median nonmagnetic, lossless medium with and EM wave is normally incident upon a nonmagnetic, lossless medium with eR2=4 Given the average power density of the incident wave .Find the average power densities of reflected and transmitted waves?

... #### Problem 9: Three charges are situated at the corners of a square (side a) as shown. a) How much work does it take to bring in another charge +q, from far away and place it in the fourth corner? b) How much does it take to assemble the whole configuration of four charges?

... #### Problem 8: Find the potential at a distance z above the center of the charge distribution. Compute the electric field.

... #### Problem 7: Find the electric potential inside and outside a uniformly charged solid sphere whose radius is R and whose total charge is q. Use infinity as your reference point. Compute the gradient of V in each region and check that it yields the same electric field derived in the class. Sketch V(r).

... #### Problem 6: Two infinitely long coaxial cylindrical surfaces, r=a and r=h where b>a carry surface charge densities respectively a)Determine E everywhere. b) What must be the relation between a and b in order for E to vanish for r>b?

... #### Problem 5: A spherical distribution of charge exist in he region. Determine the electric field everywhere.

... #### problem 4: A line charge of uniform density in free space forms a semicircle of radius b. Determine the magnitude and direction of the electric field at the center of the semicircle.

... #### Problem 3. Two infinite parllel planes carry equal but opposite uniform surface charge densities .Find the electric field in each of the three regions. 1) to the left of both . 2) between them. 3) to the right of both.

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