Consider a long teflon rod (a dielectric cylinder) with radius a oriented along the z-axis. imagine that we could set up a permanent polarization p(s, theta, z) = ks vector, where s is the usual cylindrical radial vector from the z-axis. and k is a constant). the cylinder is sufficiently long that you can neglect end effects.

a. calculate sigma b and row
b. what are the units of your constant k? use these hound charges along with gauss's law to find the e vector inside and outside the cylinder.
c. find the electric displacement field (d vector) inside and outside the cylinder using griffiths eqn. 4.21 and verify that griffiths eqn. 4.23 works out. explain briefly in words.

We put a force of 50n on an object and the acceleration is 100 m/s². what is the mass of the object?

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.

Which planets are visible without a telescope