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# HW3 - Electromagnetics Group.3 HW.3 Deadline k 1 A hollow...

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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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HW3 - Electromagnetics Group.3 HW.3 Deadline k 1 A hollow...

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