A finite line of charge with linear charge density 2= 3.95 x 106 C/m and length L = 0.874 m is located along the x-axis (from x = 0 tox = L). A point charge of q = -6.88 x 10-C is located at the point xo = 1.98 m, yo = 3.00 m. Find the electric field (magnitude and direction as measured from the +x-axis) at the point P, which is located + + + -L H along the x-axis at xp = 10.90 m. The Coulomb force constant is Xp k = 1/(4tleo) = 8.99 x 10° (N-m2)/C?. E = N/C

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

= The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.80 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 13.0R₁ and the (same) length L. The net charge on the rod is -12 Q₁ +3.46 × 10 C; that on the shell is Q₂ = -2.21Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.17R₂? What are (c) E and (d) the direction at r= 5.06R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?

Four solid plastic cylinders all have radius 2.55 cm and length 6.48 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 15.8 nC/m² everywhere on its surface. Cylinder (b) carries charge with uniform density 15.8 nC/m² on its curved lateral surface only. Cylinder (c) carries charge with uniform density 525 nC/m3 throughout the plastic. Cylinder (d) carries charge with uniform linear density 54.2 nC/m along the length of the plastic.