Consider a line of charge that extends along the x axis from x = -3 m to x = +3 m. The line of charge has a constant linear charge density equal to 6 nC/m (note the nano). Calculate the magnitude of the electric field due to this charge at (0, 5 m), in N/C. Use k = 9 x 109 N m2 / C2. The resulting integral is solved with trigonometric substitution, so solve the integral using a computer if you don't know how to do this. (Please answer to the fourth decimal place - i.e 14.3225)

Consider a line of charge that extends along the x axis from x = -3 m to x = +3 m. The line of charge has a constant linear charge density equal to 6 nC/m (note the nano). Calculate the magnitude of the electric field due to this charge at (0, 5 m), in N/C. Use k = 9 x 109 N m2 / C2. The resulting integral is solved with trigonometric substitution, so solve the integral using a computer if you don't know how to do this. (Please answer to the fourth decimal place - i.e 14.3225)

Similar questions

Question 5: Consider the following situation: A ring of radius R is centered on the x axis a distance l from the origin. The ring has a uniform electric charge density per unit length d, d > 0. Show that the electric filed at a location on the x axis, a distance l from the origin comes out to be Ē = 2nkeAlR (?+ R?}3/2 Hint: You will need to set up an integration for this problem.
A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).
Consider a cylindrically symmetric distribution of charge. It consists of a tube of charge of radius 0.6 m with a linear charge density of 284.8 x 10-12 C/m that is surrounded by a second tube of charge of radius 4.1 m with linear charge density -188.5 x 10-12 C/m. Calculate the magnitude of the electric field, in N/C, 1.7 m away from the axis of the distribution. Use ?0ε0 = 8.85 x 10-12 F/m. (Please answer to the fourth decimal place - i.e 14.3225)
The volume charge density of a spherical charge distribution is given by rho(r) = rho0 e^(-ar), where rho0 and a are constants. What is the electric field produced by this charge distribution? (Enter the radial component of the electric field. Use the following as necessary: rho0, a, r, and E0.)
A cylindrical shell of length l and inner radius a and outer radius b carries a volume charge density given by ρ(r) = α/r where r is the distance to the axis of the shell and α a positive constant. Determine the total charge carried by the shell.
Calculate the electric field in N/C at point P, a distance (4.35x10^1) cm along the central axis of a disk of charge with radius (9.157x10^0) cm, and charge density +(8.0860x10^0) µC/m2. You do not need to enter a unit vector in your answer, but must put a negative sign in, if the electric field is pointing along the negative z-axis. R
Charge is distributed throughout a spherical volume of radius R with a density p = ar6, where a is a constant and ris the distance from the center of the sphere. Determine the electric field due to the charge at a point a distance r from the center that is inside the sphere, and at a point a distance r from the center that is outside the sphere. (Enter the radial component of the electric field. Use the following as necessary: R, a, r, and ɛn.) inside the sphere E = outside the sphere E =