A very long, thin nonconducting rod with linear charge density = 24 %3D C/m is placed along the central axis of a long neutral (i.e. initially uncharged) conducting cylindric shell of inner radius a = 16 cm and outer radius b = 18 cm. Calculate the charge density per unit area on the inside surface of the conducting cylinder. (i.e. calculate the inner “ at radius a)

A ball of conductor of radius RE has total Charge 2Q and a concentric spherical cavity of radius R₁ > RE. At the exact center of the cavity is a charge 3Q. Find the charge q at the radius RE and supply the missing numerical factor below. q=1 Q

An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 28 µC/m³. Concentric with the cylinder is a cylindrical conducting 14.9 cm, and outer radius c = 17.9 cm. R(0,4) P(a4) shell of inner radius b = The conducting shell has a linear charge density A = -0.36µC/m. 47 cm from the origin along the 1) What is E,(R), the y-component of the electric field at point R, located a distance d = y-axis as shown? |-12.29*10^3 N/C Submit 2) What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (47 cm, 47 cm). 2.001*10^3 V Submit 3) What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? |-1366.9 V Submit

A quarter-disc in the first quadrant has a surface charge density given by Kcos(φ)C/m2 . If the radius of the disc is b, calculate the electric field at a point P(0, 0, −h).