Question

Need help solving this questions. I know it's a lot (I'm sorry in advance). I've solved a couple but I'm not sure if I'm correct. Please show all your work so I can follow along.

oooo Sprint 16:30 70% Done ee135-winter19-01.courses.soe MVV #1 Due: Tuesday, January 22. Q.1: Two volleyballs, mass 0.3 kg each, tethered by nylon strings and charged with an electrostatic generator, hang as shown in Fig. Q.1. What s the charge on each, assuming the charges are equal? Q.2: Calculate the potential energy, per ion, for an infinite 1D ionic crystal with separation a; that is, a row of equally spaced charges of magnitude e and alternating sign. Hint: The power-series expansion of In(1x) may be of use Q.3: Four charges, q, -q, q, and -q, are located at equally spaced inter- vals on the x axis. Their x values are-3a"-a, a, and 3a, respec-tively. Does there exist a point on the y axis for which the electric field is zero? If so, find the y value. Balls Q.3: Zero Field Q.4: (a) What is the electric field at the center of a hollow hemispherical shell with radius R and uniform surface charge density ơ ? (This is a special case of Problem 1.12, but you can solve the present problem much more easily from scratch, without going through all the messy integrals of Problem 1.12.). (Use spherical coordinates). (b) Use your result to show that the electric field at the center of a and uniform volume charge density p equals pR/4Eo (Use spherical coordinates). with radius R Q.5: Three positive charges, A, B, and C, of 3-10, 2-10, and 2-10 coulombs, respectively are located at the corners of an equilateral triangle of side 0.2 m. (a) Find the magnitude in newtons of the force on each charge. (b) Find the magnitude in newtonsicoulomb of the electric field at the center of the triangle.

Answer 1