Four solid plastic cylinders all have radius 2.59 cm and length 6.54 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 16.3 nC/m2 everywhere on its surface. C Cylinder (b) carries charge with uniform density 16.3 nC/m2 on its curved lateral surface only. Cylinder (c) carries charge with uniform density 535 nC/m³ throughout the plastic.

Imagine two concentric spherical conductive shells of radii 5 cm and 10 cm. Originally the inner sphere is charges with 2 µC and the outer with -1 µC. Then they are connected with a conductive wire. After the charge exchange has taken place, what are the charges on each of the shells? 91= μC, 92= μC.

The figure below shows a small, charged bead, with a charge of q = +41.0 nC, that moves a distance of d = 0.174 m from point A to point B in the presence of a uniform electric field  E  of magnitude 255 N/C, pointing right. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) What is the magnitude (in N) and direction of the electric force on the bead? magnitude Ndirection     (b) What is the work (in J) done on the bead by the electric force as it moves from A to B?  J (c) What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.) PEB − PEA =  J (d) What is the potential difference (in V) between A and B? VB − VA =  V

The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.8R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.62 × 10-12 C; that on the shell is Q2 = -2.0501. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.13R₂? What are (c) E and (d) the direction at r = 5.12R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? R₂ R₁