The figure below shows a very long, thick rod with radius R, uniformly charged throughout. R Find an expression for the electric field inside the rod (r < R). (Use the following as necessary: r, R, à for the linear charge density of the rod, and ɛ0.) E = Use the equation, É = 2πεο r to check your solution at the surface, where r= R. (Use the following as necessary: R, à, and ɛo.) É(r = R) =

The figure below shows a very long, thick rod with radius R, uniformly charged throughout. R Find an expression for the electric field inside the rod (r < R). (Use the following as necessary: r, R, à for the linear charge density of the rod, and ɛ0.) E = Use the equation, É = 2πεο r to check your solution at the surface, where r= R. (Use the following as necessary: R, à, and ɛo.) É(r = R) =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 34PQ: A very long line of charge with a linear charge density, , is parallel to another very long line of...

See similar textbooks

Similar questions

The charge per unit length on the thin rod shown below is λ . What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge dq = λdx . Then find the net field by integrating dE over the length of the rod.)
A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure below. If E1 = 42.4 N/C and E2 = 23.1 N/C, what is the net flux through the two end faces of the cylinder? Note that the diagram is not to scale.
A disk of radius 0.10 m is oriented with its normal vector n at 30 degrees to a unform electric field E vector of a magnitude of 2.0x10^3 N/C. What is the electric flux through the disk? (Provide the complete details for the Illustrated Diagram - inside the box, Given, Required, Equation, Solution, and Answer)
A hemispherical surface of radius b = 16.5m is fixed in a uniform electric field of magnitude E0 = 6.47 V/m. This is illustrated in the attached image. (x - axis points out of the screen) What is the general expression for an infinitesimal area dA, is spheral coordinates (r, Θ, Φ), where Θ is the polar angle and Φ is the azimuthal angle? Use ñ as your outward pointing unit vector. Calculate the electric flux in volt meters through the hemishpere.
I am stuck on how to solve this problem. Find the electric field at the location of qa in the figure given that qb = +2.50 nC, qc = - 3.50 nC, qd= 0.000 nC , q = +2.00 nC , and the square is 18.0 cm on a side. a) The electric field magnitude and vector angle at qa due to qb? (Would it be the same format for qc and q?) b) The NET electric field and magnitude and vector angle at qa?
The figure below shows a section of a very thin, very long, straight rod with a uniform charge per unit length of λ. Point O is a perpendicular distance d from the rod. A spherical gaussian surface is centered at point O and has a radius R. (Use any variable or symbol stated above along with the following as necessary: ε0.) A)What is the electric flux through the spherical surface if R < d? B)What is the electric flux through the spherical surface if R > d?
A very long line of charge with a linear charge density, , is parallel to another very long line of charge with a linear charge density, 2. Both lines are parallel to the y-axis, and are the same distance r from the y-axis, where the first wire is to the left of the origin and the second is to the right. Use Gausss law and the principle of superposition to find an expression for the magnitude of the electric field at the origin.
Positive charge is distributed with a uniform density λ along the positive x-axis from r to ∞, along the positive y-axis from r to ∞, and along a 90° arc of a circle of radius r, as shown below. What is the electric field at O? (Use the following as necessary: λ, r, and ε0.) E = _____ i + ______ j + ______ k
Consider an infinitesimal segment located at an angular position θ on the semicircle, measured from the lower right corner of the semicircle at x=a, y=0. (Thus θ=π2 at x=0, y=a and θ=π at x=−a, y=0.) What are the x- and y- components of the electric field at point P (dEx and dEy) produced by just this segment? Express your answers separated by a comma in terms of some, all, or none of the variables Q, a, θ, dθ, and the constants k and π.
Now suppose the cube and the charged ball setup is brought near an infinite charged plane. The lower face of the cube is parallel to the plane. If the charge density of the plane is σ=43μC/m2, what are the magnitudes of the electric fields at P and Q now? the magnitude of the electric field at points P ?
Repeat your calculations for the preceding problem (shown below),given that the charge is distributed uniformly over thesurface of a spherical conductor of radius 10.0 cm. A charge of −30 μC is distributed uniformlythroughout a spherical volume of radius 10.0 cm.Determine the electric field due to this charge at a distanceof (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the centerof the sphere.
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?