Use the Gauss Law to find the E- field resulting from the infinite cylinder of radius R=1.4m with the charge density 80 nC/m3 at point P 7 cm from the center of the cylinder. Take k to be 8.99x10° (Nm²/C²). In the answer box enter the magnitude of the field to the nearest tenth of the unit. For full mark, present the full derivation on paper, with diagram of the Gaussian Surface and the full derivation for the field at arbitrary point inside the distribution. Your Answer: Answer

Use the Gauss Law to find the E- field resulting from the infinite cylinder of radius R=1.4m with the charge density 80 nC/m3 at point P 7 cm from the center of the cylinder. Take k to be 8.99x10° (Nm²/C²). In the answer box enter the magnitude of the field to the nearest tenth of the unit. For full mark, present the full derivation on paper, with diagram of the Gaussian Surface and the full derivation for the field at arbitrary point inside the distribution. Your Answer: Answer

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...

See similar textbooks

Similar questions

Hello, I understand that to calculate the net charge in the shell, I need to integrate the equation from 4 cm to 6 cm with volume charge density times 2 * pi * r * dr. However, since the problem here provides me with a novel expression of p = b/r, I am a bit lost... Could you please tell me how I can solve such problem?
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.
Determine the electric field at a distance `d` to the right of a thin-walled cylindrical shell with uniform distributed charge (See attached image). Provided are: the total charge `Q`, radius `R`, and shell length `h`. I can compute most of the solution, however, I don't understand the integration limits (See attached image). Given that the point on which I'm calculating the electric field is on the right side of the shell, shouldn't I be integrating from `d + h` to `d` instead of the other way around? If not, why?
Find the electric field a distance z above the center of a flat circular disk of radius R (See attatched figure) that carries a uniform surface charge σ. What does your formula give in the limit R → ∞? Also check the case z >> R.
A large non-conducting slab of area A and thickness d has a charge density rho=Cx^4. The origin is through the center of the slab. That is to say, it bisects the slab into two equal volumes of d/2 thickness and with an area of A, with -d/2 to the left of x=0, and d/2 to the right of x=0. Express all answers in terms of C, x, and any known constants. Gaussian surface 1 (cylinder) is located such that its volume encompasses the charge contained within the slab. Apply Gauss's Law to cylinder 1 to determine the electric field to the left and to the right of the slab. Make sure you incude the domains over which the field is valid.
Not considering the enclosed charge, or just considering the flux, explain whatfactor could possibly account for the flux to be the same for the different surfaces?
Can Gauss's theorem reflect the distribution characteristics of field sources in a Gaussian surface? Why?
Consider two concentric insulating cylinders of infinite length. The inner cylinder is solid with radius R, while the outer cylinder is a hollow shell with inner radius a and outer radius b. Both cylinders have the same volume charge density of +ρ. Using Gauss’s Law, find the electric field as a function of r (where r= 0 at the central axis) in the interval a≤r < b. Note: Your final equation should be in terms of given parameters of ρ,a,b,R, and r.
Use Gauss’s law to find the E field justoutside a small hole that was punched out of an otherwise chargedconducting sphere.
A thin, circular plate of radius B, uniform surface charge density, and total charge Q, is centered on the origin and lies in the x-y plane. What is the electric flux ΦE through a sphere of radius r, also centered on the origin, as a function of r? Consider both (a.) r > B and (b.) r < B:
For problem 7, calculate the total flux through the one side of the cube in kNm2/C for a particle with a charge 3.39 uC at the center of the cube.(5 sig. figs.)
Suppose a piece of infinite length. We have the surface density of Sigma, which has width a, find the field at distance z؟