HW3 - Electromagnetics Group.3 HW.3 Deadline 23/7/89 k 1. A...

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Electromagnetics HW.3 Group.3 Deadline 23 / 7 / 89 1. A hollow spherical shell carries charge density ρ = k r 2 in the region a r b . Find the electric field in three regions: r < a , a r b , r > b . 2. Electric charge with surface density σ = σ 0 cos 2 φ lies on the circular disk ρ < 1 in the xy plane. Find the electric field density at an arbitrary point on z axis. 3. A thin conductor ring of radius R which has the uniform line charge of λ is located on the xy plane centered at the origin.(it’s axis is along the z axis). i)Find the electrical field on the axis of the ring at an arbitrary distance z above its center. Call this point P 1 = (0 , 0 , z ). ii)Now suppose that the point of observation is moved to a very small distance δρ from the axis. Call this point P 2 . As there is no symmetry anymore, the field doesn’t point to the z direction, so it has a radial component too. Find the radial component of the field at P 2 , in the terms of z and δρ .(hint:use Gauss’s
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This note was uploaded on 12/23/2010 for the course ELECTRICAL EE251202 taught by Professor Rejaei during the Fall '10 term at Sharif University of Technology.

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HW3 - Electromagnetics Group.3 HW.3 Deadline 23/7/89 k 1. A...

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