This problem can be solved by applying Gauss's Law on a gaussian
cylindrical surface both inside and outside the cylinder. Detailed
solution given below. Feedback will be helpful.
Hence we see that both these expressions agree on the
boundary (r=R)
The very long ( L 00) insulating cylinder has a uniform charge. Find the magnitude of...
stete the answer clearly please A very long, very thin straight line has a uniform charge per unit length of 2, where >. It is surrounded by a long, cylindrical, Insulating vinyl shell, which has an inner radius a and outer radius b. The line lies along the central axis of the cylindrical shell. The cylindrical shell has a uniform volume charge density p, where p > 0. (Both the line and the shell are long enough to approximate them...
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p po (a-where po a and b are positive constants and ris the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (a) r< R and (b)r>R
P6. A very long cylinder of radius a 5.00 cm has a uniform charge density 15.0 nC/em. Plot the electric field created by this cylinder as a function of r, the distance from the axis of the cylinder, for 0〈r< 15.0 cm.
A long solid insulating cylinder of radius A=11cm has a volumetric charge density of p= 531 nC/m3 . Find the electric field at BOTH a distance r=7cm and r=17cm from the axis of the cylinder, showing all appropriate steps.
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as given by the following expression where po. a, and bare positive constants and ris the distance from the axis of the cylinder Use Gauss's law to determine the magnitude of the electric field at r R. (Use the following as necessary: E0. Po. a, b, r, and R 2πεο 2.03b c) c) 2. R 3.b e) Po
2. A very long cylinder with radius a and charge density p Pora is placed inside of a conducting a3 cylindrical shell. The cylindrical shell has an inner radius of b and a thickness of t. Find the electric field for r < a. а. b. Find the electric field for a <r< b. Find the electric field for b <r<b+t. Find the electric field for b +t< r. Plot E(r). Suppose the inner cylinder is known to have a...
2) A long plastic cylinder with a radius of R and length L has a uniform positive charge density. The total charge on the cylinder is Q. (a) Derive an approximate formula for the electric field as a function of r near the surface at location A. (b) Derive an approximate formula for the electric field as a function of r for locations inside the cylinder near the center such as location B.
#3. The figure at the right depicts a uniform solid cylinder of charge whose volume charge density is p and whose radius is R. Use Gauss' Law to obtain an expression for the magnitude of the electric field at an observation point located inside the cylinder at a distance r<R from the axis of the cylinder. Your result will be a function of p and r. Show all work. R
We have a very long non-conductive solid cylinder with radius R, with a volumetric charge density given by p. Construct in detail an equation to calculate the magnitude of the electric field at a point within the volume of the cylinder at a distance r from its center? What will be the electric field on the surface of the cylinder?
11. For students who are taking PHYS 2126 only. A very long solid conducting cylinder of radius R, and length / (R, ID possesses a uniform volume charge density p (C/m'3). Determine the electric field E (magnitude and direction) at points (a) outside the cylinder, and (b) inside the cylinder. Do only for points far from the ends and for which R <I