Exam # 1,September 24, 1997Name:_________________The more work shown, the more credit given.Question 1)A certain electric dipole consists of two charges +16e and -9e arranged according to the . figure below. The distance d = 10-10 m.a) How far from each must a positive charge be located to keep the system in equilibrium? (9 points)b) What is the magnitude or amount of the new charge? (9 points)c) What is the angle that the new charge makes with respect to the x-axis? (2 points)e = 1.6 x 10-19 C and k = 14 0 = 9 x 109 Nm2 / C2d/2d/2xy45o+16e-9eQuestion 2) (20 points) Point charges are placed at the four corners of a rectangle as shown in the figure below.Let q1= 2q, q2 = -2q , and q3= q4 = 4q, what is the magnitude of the electric field (in terms of k and q) and direction (with respect to the x axis) of the electric field at point P?1 m 1 m1 m1 m2q4q4q-2qPQuestion 3) (20 points) Find the electric potential at point P in terms of q and d for the system of six point chargesshown below. It is not necessary to algebraically simplify your answer.hhlhd 0.75 d 0.5 d3d1 . 2 5 l 2dddPoint P+5q+3q+3q+3q-6q4qQuestion 4) Three concentric spheres have radii 1.5 m, 2.5 m, and 3.5 m. A point charge of charge q isplaced at the center of innermost sphere. The innermost sphere has a surface charge of -2q, the middle sphere has a surface charge of 4q, and the outermost sphere has a charge of -8q (see figure below). Find in terms of k (=14 0) and q, the electric field at:Useful Tool: Gauss’ Law for a sphere of radius R is E(4R2) = qenc /0q-2q4q-8q3.5 m1 . 5 m1 . 5 m2.5 ma) r = 1 m (5 points)b) r = 2 m (5 points)c) r= 3 m (5 points)d) r= 4 m (5 points)5) The figure below shows cross-sections of three large, parallel non-conducting sheets with charge distributions with surface charge densities of +2and -respectively. Find the electric fields in Regions A, B, C, and D.Useful Tool: The magnitude of the electric field for a infinite sheet of charge is E = /20dd-+2+2+Region ARegion DRegion CRegion Ba) Region A (5 points)b) Region B (5 points)c) Region C (5 points)d) Region D (5
View Full Document
Unlocking...