Find the electric field at a distance L directly above an infinitely large plane carryinguniform surface charge density E.Solution: To find the electric field at a distance L above the plane using Gauss' law, weconstruct a closed surface with a top surface at a distance L above the plane and abottom surface at a distance L below the plane. We close the sides off by anothersurface through which we get zero electric flux because the electric field is vertical.Therefore, electric flux is non-zero through the top and bottom surface which gives2EA for the left-hand-side of Gauss' law with A the area of the top and bottomsurfaces. The charge inside is EA so Gauss' law reads2EA = = EA/EOand E= E/(280) in magnitude and E = En/(280) where n is a normal unit vector.

Answered: Image /qna-images/answer/49936394-dc88-426d-a6a0-3999731951e5.jpg

Answered: Find the electric field at a distance L…

Find the electric field at a distance L directly above an infinitely large plane carrying uniform surface charge density E.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A charge is distributed uniformly on the surface of a circular disc of radius R. Calculate the…

Q: A uniform charge density of 57 nC/m3 is distributed throughout a spherical volume (radius = 16.1…

A: The charge enclosed by the surface can be calculated as follows,

Q: Problem 9: Consider a ring of charge with a linear charge density 540 nC/m. The radius of the ring…

Q: You have been given the following charge density function Po (1-r/R) for r ≤ R 0 elsewhere P This…

A: CONCEPT:

Q: A semi-infinite charged line extending from y = 0 to y = -∞ containing a linear charge density, λ.…

A: Given:- We have to find the electric field at point P due to semi-infinite line charge…

Q: A uniform charge density of 57 nC/m3 is distributed throughout a spherical volume (radius = 16.1…

A: The given values are,

Q: An infinitely long conducting cylinder has a radius, a. A infinitely long conducting cylindrical…

A: (a) for r<a point lie inside the inner cylinder of radius a if we draw a gaussian surface about…

Q: A uniform charge density of 59 nC/m3 is distributed throughout a spherical volume (radius = 16.5…

Q: (a) Using Gauss's law calculate the electric field above a charged conductor. The system is shown in…

A: We need to find the electric field E for the given surface having a surface charge density σ. To…

Q: ) Find the electric field on the z axis (0,0,z) produced by an annular() ring of uniform surface…

A: (a) Let the inner radius of the annular ring be a and the outer radius of the ring be b. The…

Q: An infinite plane slab, of thickness 2d, carries a uniform volume charge density (rho). Find the…

Q: Using the exact expression for the electric field a uniformly charged disk (on the equation sheet)…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Use Gauss’s law to find the magnitude of the electric field at a radius s away from the axis inside…

Q: A hollow sphere has concentric surfaces with an inside a, an outside radius b and is uniformly…

A: We would use Gauss law to solve this question According to the gauss law," the electric flux through…

Q: An infinite charged wire with charge per unit length λ lies along the central axis of a cylindrical…

Q: Your answer is partially correct. Try again. A long straight wire has fixed negative charge with a…

Q: An infinity long hollow insulating cylinder has concentric surfaces with an inside radius a and an…

Q: X Problem 2: UP 6.42 Suppose that the charge density of a solid, spherical charge distribution of…

Q: A uniform charge density of 53 nC/m3 is distributed throughout a spherical volume (radius = 16.8…

Q: In the figure a "semi-infinite" nonconducting rod (that is, infinite in one direction only) has…

Q: A disk of radius R has a uniform surface charge density σ and lies in the (x, y) plane. Find the…

Q: Consider a long cylindrical charge distribution of radius R with a uniform charge density ρ.…

A: Given Data : The radius of the cylinder is given as R The charge density of the cylinder is given as…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Find the electric field at a distance L directly above an infinitely large plane carrying
uniform surface charge density E.
Solution: To find the electric field at a distance L above the plane using Gauss' law, we
construct a closed surface with a top surface at a distance L above the plane and a
bottom surface at a distance L below the plane. We close the sides off by another
surface through which we get zero electric flux because the electric field is vertical.
Therefore, electric flux is non-zero through the top and bottom surface which gives
2EA for the left-hand-side of Gauss' law with A the area of the top and bottom
surfaces. The charge inside is EA so Gauss' law reads
2EA = = EA/EO
and E= E/(280) in magnitude and E = En/(280) where n is a normal unit vector.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Gaussian surface

VIEW

Step 2: Electric field

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A disk with radius R has uniform surface charge density σ.
In the space between two parallel planes separated by a distance 2d some charge is uniformly distributed with density po. Calculate the electric field in all space as a function of x 2d
Find the electric field at a distance L directly above an infinitely large plane carrying uniform surface charge density Σ.
Calculate the electric field at height h above the center of a square plate of size 2a×2a with uniform surface charge density η (both direction and magnitude). Verify that in the limit of large a the result agrees with the field of an infinite uniformly charged plane.
Consider an infinite line charge with a uniform line charge density of 5.84 x 10 C/m that goes through the center of a circular cylinder having a length of 0.587 m and a radius of 0.026 m. What is the net electric field flux through the cylindrical surface?
A nonconducting disk with a radius of 10 cm has a uniform positive surface charge density of 3 nC/m2. Find the electric field (in N/C) at a distance of 24 cm from its center.
A conducting hollow sphere of internal radius a and external b has a total charge + 11q, determine the electric field between radius a and b in terms of ɛ0, q and the radius of the Gaussian r.
An infinite, insulating cylinder of radius ri is surrounded by an air gap and a thin, cylindrical conducting shell of radius r2. The insulating cylinder carries constant volume charge density p and the conducting shell carries a constant area charge density o. Use Gauss's law to calculate the quantity f E•dA for the Gaussian shape (a) most appropriate for this problem. (b) distribution). Find the electric field in the region r < ri (inside the volume charge (c) Find the electric field in the region r1 < r < r2 (air gap region) 2.
A long hollow insulating cylinder has an inside radius a, outside radius b, and a uniform charge desity ρ. What is the electric field a distance r from the central axis? Give answers for r < a, a < r< b, and r > b
An uncharged nonconductive hollow sphere of radius 11.0 cm surrounds a 16.0 µC charge located at the origin of a cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux through the hole.