An infinity long solid circular cylinder had a radius of 2.00 cm and has a unifo
ID: 1354076 • Letter: A
Question
An infinity long solid circular cylinder had a radius of 2.00 cm and has a uniform volume charge density, p. Assume that the electric field it produces is completely radial in its direction. Use Gauss's to find the electric field within the cylinder, a distance r from its center, (all work must be shown for credit) Use Gauss's to find the electric field outside of the cylinder, a distance r from its center, (all work must be shown for credit) If the volume charge density is 3times10-5 C/m3, what is the total flux through a cylindrical surface of radius 4.00 cm and a length of 7.00 cm placed concentrically along the charge. If the volume charge density is 3Times10-5 C/m3 what is the total fluxthrough a cylindrical surface ofradius 1.50 cm and a length of 7.00 cm placed concentrically along the chargeExplanation / Answer
(c)
Radius of Cylinder r = 4 cm = 0.04 m
Length of Cylinder h = 7cm = 0.07 m
Volume charge Density = 3*10^-5 C/m^3
Volume of Cylinder = 3.14*r^2*h
Volume of Cylinder = 3.14*0.04^2*0.07 m^3
Volume of Cylinder = 0.00035168 m^3 = 3.52 * 10^-4 m^3
Total Charge in Cylinder = Volume charge Density * Volume of Cyclinder
Total Charge in Cylinder = 3*10^-5 * 3.52 * 10^-4 C
Total Charge in Cylinder = 1.056*10^-8 C
According to Gauss Law,
Total Flux, = q/eo
Total Flux, = 1.056*10^-8)/(8.85*10^-12)
= 1193.22 wb
(d)
Radius of Cylinder r = 1.5 cm = 0.015 m
Length of Cylinder h = 7cm = 0.07 m
Volume charge Density = 3*10^-5 C/m^3
Volume of Cylinder = 3.14*r^2*h
Volume of Cylinder = 3.14*0.015^2*0.07 m^3
Volume of Cylinder = 0.00035168 m^3 = 4.95 * 10^-5 m^3
Total Charge in Cylinder = Volume charge Density * Volume of Cyclinder
Total Charge in Cylinder = 3*10^-5 * 4.95 * 10^-5 C
Total Charge in Cylinder = 1.485*10^-9 C
According to Gauss Law,
Total Flux, = q/eo
Total Flux, = (1.485*10^-9)/(8.85*10^-12)
= 167.8 wb