Jul 15, 2012 · Calculating Linear Charge Density of a Cylinder. Jan 27, 2023; Replies 1 Views 2K.

Jan 27, 2023 · Relevant Equations:: Linear charge density, Gauss's Law For part a: I know that linear charge density is the amount of charge per unit length, and we are given the volume charge density. Since we are given the volume, we can obtain the length by multiplying the volume by the cross sectional area, so C/m^3 * m^2 = C/m.

Jun 10, 2008 · Using Gauss's Law, the magnitude of the electric field at a specific distance from the axis of the shell is determined to be 3.15e2 N/C. The surface charge density on the inner and outer surfaces of the shell can be calculated using the same formula, but the net charge on the shell being zero is also taken into consideration.

Oct 6, 2020 · The formula for calculating linear charge density is λ = Q / L, where λ is the linear charge density, Q is the total charge, and L is the length of the line. How is linear charge density related to electric field? Linear charge density is directly related to electric field. The electric field at a point on the line is equal to the linear ...

Feb 2, 2012 · The charge density on the rod varies with distance 'y', measured from the lower end, according to λ(on rod) = (λ 2 *b)/(y+a), where λ 2 is a constant. Find the electrical force exerted on the rod by the charge on the infinite straight line, in the λ 1, λ 2, a, and b, and constants like ε 0. See attachment. Homework Equations

Jan 6, 2008 · In summary, the problem involves an infinitely long line of charge with a linear charge density of 4.00 x 10^-12 C/m. A proton with a mass of 1.67 x 10^-27 kg and a charge of +1.60 x 10^-19 C is moving towards the line at a speed of 1.20 x 10^3 m/s. The task is to determine how close the proton gets to the line of charge.

Jan 28, 2011 · An infinite line of charge with linear density λ = 8.8 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.9 cm and outer radius b = 4.1 cm. The insulating shell is uniformly charged with a volume density of ρ = -659 μC/m3.

Jan 31, 2007 · Homework Statement A long line carrying a uniform linear charge density 50.0 microcoulombs/m runs parallel to and 10.0 cm from the surface of a large, flat plastic sheet that has a uniform surface charge density of -100 microcoulombs/m^2 on one …

Jan 27, 2008 · A line of positive charge is formed into a semicircle radius R=0.6m. The charge per unit length is given by [tex]\lambda=\lambda_{0}cos\theta[/tex]. The total charge on the semicircle is 50[tex]\mu C[/tex] Calculate the total force on a charge of 8[tex]\mu C[/tex] placed at the centre of the curvature.

Sep 14, 2019 · Non-conducting rod of length L = 8.15 cm has charge q= -4.23 fC uniformly distributed along its length. Calculate the linear charge density and find the magnitude of the electric field at point P, a distance of 12 cm to the right of the rod. Relevant Equations E(linear) = Ke ∫ dq/r^2 , where dq=λdl