A long cylinder carries a charge density that is proportional to the distance from the axis: rho=kr, for some constant k. Find the electric field inside this cylinder

A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.20 cm, outer radius = 9.80 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?

Charge is distributed uniformly throughout the volume of a large insulating cylinder of radius 25.1 cm. The charge per unit length in the cylindrical volume is 13.9 nC/m. Determine the magnitude of the electric field at a distance 14.4 cm from the central axis.

A square conducting plate 54.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 75.0 kN/C directed to the right and perpendicular to the plate. (a)Find the charge density (in nC/m2) on the surface of the right face of the plate. b)Find the charge density (in nC/m2) on the surface of the left face of the plate. (c)Find the magnitude (in nC) of the charge on either face of the plate.

There are two concentric cylinders with R1= 0.0056 m and R2= 8R1 with a length of 6.1m. The internal cylinder charge is q=2.7nC and uniformly distributed, the external one is -3q also uniformly distributed. How much is the electric field at r= 4.4R1. Express your answer in N/A to three significant figures.

A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.60 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.8 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder Shell Rod- (a)

A charge of uniform linear density 2.60 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.00 cm, outer radius = 10.6 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.6 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder- (a) (a) Number i Units (b) Number i Units (c) Number i Units