Problem 6 9110 points {graded} A thinwalled hollow circular glass tube, open at both ends, has a radius R and a length L. The axis of the tube lies along the zaxis and the tube is centered on the origin as shown in the figure. The outer sides are rubbed with wool and acquire a net negative charge Q distributed uniformly over the surface of the tube. Use It: for Coulomb's constant. To determine the electric field from the cylinder at location ~. rm In the limit when the observation location is far from the ring (Le. z >> R and z >> L}, the electric field of a - 2 single ring, on axis, can be approximate as |Emg| = leia % kti a t 2 - {334422}? z 22;\" In the limit when the observation location is far from the ring (Le. z >> R and z >> L}, the electric field of a ., 2 single ring, on axis, can be approximate as |Ering| = kia % 36:91?2 % . (gas-\")5 Using your previous resultsI determine the infinitesimal electric field dB at the observation location for a singll ring. Assume to >> L. (k*Q*dz}l'L * (1!{WZ}"'2 V _k-Q-dz 1 3-122 L (to2f2o(wz)4 Using the electric field you calculated above, determine the net electric field of the hollow tube at the observation location. This will require setting up and evaluating an integral. 0 b; = [k*Q).lL *(Usqrth'2 +(w )3 4 4 L R2+[wL)2 RH\