Category: electro magnetics

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.

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.

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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.

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.

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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?

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?

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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 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?

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

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

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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 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).

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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 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?

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

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

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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 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.

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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.

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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