PHY 350 Midterm: PHY350 Midterm Solution
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You may not discuss the exam with anyone except professor curtright. On my honor, i have neither received nor given aid on this exam. Consider the scalar and vector functions: f ( r ) = xy. A ( r ) = y2 (cid:2)x +(cid:3)2xy + z2(cid:4) (cid:2)y + 2yz (cid:2)z. (cid:5)f a(cid:6) = y3 + 4x2y + xz2 + 2xy2 ugh! 2(cid:5)f a(cid:6) = 6xy (cid:2)x +(cid:3)4x2 + 4y2 + 2xy(cid:4)(cid:2)y + 4xz (cid:2)z ugh again! Find the electric potential v (z) a distance z above the center of a uniformly charged at circular disk of radius r lying in the xy-plane. The total charge on the disk is q. Find the electric eld inside a sphere which carries a charge density proportional to the distance from the center of the sphere, = kr, for some constant k. If the sphere has a nite radius r, what is the total charge q? (express q in terms of k and.
