Understanding Physics - Problem 3)
Part 1) The figure is a section of a conducting rod of radiusR1 = 1.40 mm and length L = 14.40 minside a thin-walled coaxial conducting cylindrical shell of radiusR2 = 11.1R1 and the (same)length L. The net charge on the rod isQ1 = +3.72 × 10-12 C; that on theshell is Q2 = -2.12Q1. Whatare the (a) magnitude E and(b) direction (radially inward or outward) of theelectric field at radial distance r =2.28R2? What are (c)E and (d) the direction at r =5.24R1? What is the charge on the(e) interior and (f) exteriorsurface of the shell?
Part 2) In the figure a small, nonconducting ball of massm = 1.1 mg and charge q = 1.5 × 10-8 C(distributed uniformly through its volume) hangs from an insulatingthread that makes an angle θ = 35° with a vertical,uniformly charged nonconducting sheet (shown in cross section).Considering the gravitational force on the ball and assuming thesheet extends far vertically and into and out of the page,calculate the surface charge density σ of the sheet.
