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electrodynamics

저작시기 2018.01 |등록일 2018.01.30 한글파일한컴오피스 (hwp) | 6페이지 | 가격 2,000원

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1 (20 min, Electrostatics in vacuum)
Using Gauss's law, calculate the capacitance of
(a) two concentric conducting spheres with radii a, b (b>a)
(b) two concentric conducting cylinders of length L, large compared to their radii a, b (b>a)

4 (20 min, Electrostatics in vacuum)
Find the potential at any point in space due to a total charge q uniformly distributed around a circular ring of radius R, located on the z-axis with center at z=b.

5 (30 min, Electrostatics in vacuum)
Consider a hollow grounded sphere of radius b with a concentric ring of charge of radius a(<b) and total charge Q. The ring of charge is located in the x-y plane. (a) Express the charge density using Dirac delta function.
(b) Find the Green function.
(c) Find the potential φ inside the sphere.

6 (30 min, Electrostatics in vacuum)
Find the general solution of Laplace's equation in cylindrical coordinates, assuming there is no dependence on z (cylindrical symmetry).

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