An infinitely long cylinder of radius R = 3 cm carries a uniform charge density p...
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 cylinder of length 210 m and radius 5.50 cm carries a uniform volume charge density of p 340 nC/m3 (a) What is the total charge of the cylinder? 678.54 Use the formulas given below to calculate the electric field at a point equidistant from the ends of following radial distances from the long axis of the cylinder. (where λ-pmR2 is the charge per unit length) (b) r-2.15 cm N/C (c) 5.37 cm KN/C (d)r5.57 cm kN/C (e) r 11.6...
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
An infinitely long solid cylindrical insulator of radius 20.0 cm has a non-uniform volume charge density of ρ-Ars where ρ is in C/m when r is in meters. Calculate the magnitude of the electric field at a distance of 10.00 cm from the axis of the cylinder.
Consider an infinitely long straight cylinder of radius R and uniform positive charge density ρ. (a) Find the field inside the cylinder a distance r < R from the center. (b) Find the field outside the cylinder a distance r > R from the center. (c) Sketch a plot of E vs r over the range 0 ≤ r ≤ 2R.
mall portion of an infinitely long cylinder is shown. The radius of the cylinder is R = 4 m and the charge is uniformly distributed throughout the cylinder with a volume charge density of ρ = 0.6 nC/m^3. Gauss's law to find the magnitude of the electric field at a distance r 18 m from the center of the cylinder as shown. Your answer should be in units of N/C. Use Submit Answer Tries /2
A long, conductive cylinder of radius R 2.70 cm and uniform charge per unit length 151 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R2 9.45 cm and R3 10.8 cm, respectively. If the cylindrical shell carries a uniform charge density of p 79.8 pC/m3, find the magnitude of the electric field at the following radial distances from the central axis: Number 1.51 cm 0 N/C Number RR, R 6.08 cm 44.65 N/C Incorrect....
A cylindrical shell of length 160 m and radius 8 cm carries a uniform surface charge density of σ = 11 nC/m2. (a) What is the total charge on the shell? nC Find the electric field at the ends of the following radial distances from the long axis of the cylinder. (b) r = 4 cm N/C (c) r = 7.9 cm N/C (d) r = 8.1 cm N/C (e) r = 12 cm N/C
Consider an infinitely long, hollow cylinder of radius R with a uniform surface charge density σ. 1. Find the electric field at distance r from the axis, where r < R. (Use any variable or symbol stated above along with the following as necessary: ε0.) 2. What is it for r > R? E(r>R) = ? Sketch E as a function of r, with r going from 0 to 3R. Make sure to label your axes and include scales (i.e.,...
An infinitely long cylinder with axis aloong the z-direction and radius R has a hole of radius a bored parallel to and centered a distance b from the cylinder axis (a+b<R). The charge density is uniform and total charge/length is placed on the cylinder. Find the magnitude and direction of the electric field in the hole.