Physics 1B Discussion Worksheet 8 Problem 1 Consider an electric dipole with dipole moment of magnitude p qd Find the electric potential at a point at distance r from the center of the dipole and angle from the axis of the dipole Show that when r d Z V I kp cos r2 V 2 F Y Take V 0 in nitely far from the dipole Problem 2 A point charge q with mass m is placed at the center of uniformly charged ring with radius a and total charge Q where q and Q have the same sign The point charge is displaced slightly and moves away along the axis of the ring Show that when the point charge is very far from the ring its speed is q v r2kqQ ma 2 V ky V 9 zd micianang Xixyzertad kyllndt crtzd ECD E l Eff qd p E cost r2 2d 1 2 Eart 2 a 2 x k mv2 v 0 qY tur qU V 0 1
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