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Gauss' Law

Concentric spheres

A metal sphere of radius a is surrounded by a metal shell of inner radius b and outer radius R, as shown in the diagram below. The flux through a spherical Gaussian surface located between a and b is 0.85Q/Eplison_o and the flux through a spherical Gaussian surface just outside R is 1.15Q/Eplison_o. What is the total charg

A planar slab of thickness of 4.00 cm has a uniform volume charge density of 1.20×10-2 C/ m3. Find the magnitude of the electric field at all points in space both inside and outside the slab, in terms of x, the distance measured from the central plane of the slab. What is the field for x = 1.00 cm? What is the field for x = 8.00 cm?

A planar slab of thickness of 4.00 cm has a uniform volume charge density of 1.20×10-2 C/ m3. Find the magnitude of the electric field at all points in space both inside and outside the slab, in terms of x, the distance measured from the central plane of the slab. What is the field for x = 1.00 cm? What is the field for x = 8.0

Electric field, Coulomb's and Gauss' law.

1. Can there be an electric field to the point where there is no charge? Can there be a charge at a place where there is no field? Please write a one or two sentence answer to each of these questions. 2. Let's say you are holding two tennis balls (one in each hand), and let's say that these balls each have a charge Q. estima

Electrostatics: Field and force, Coulomb's law, Gauss law.

1. A system of 1525 particles, each of which is either an electron or a proton, has a net charge of -5.456 × 10-17C. (a) how many electrons are in this system? (b) What is the mass of this system? See attached file for full problem description. 2. See attached file for full problem description. 3. Three equal point c

Finding Electric Fields

8. A sphere of radius R1 carries a uniform charge density p throughout its volume except for a small spherical hollow volume of radius R2 located at distance a from the center (and fully contained within the larger sphere). a) Calculate the electric field E at the center of the hollow sphere. [Be careful, you can't just ap

Electric Fields using Gauss' Law

A hollow spherical shell carries charge density p = k / r^2, in the region a<=r<=b. Find the electric field in i) the region a< r< b.

Electricity problems

1. Two spherical drops of mercury each have a charge of 0.1 nC and a potential of 300v at the surface. The two drops merge to form a single drop. What is the potential at the surface of the new drop? 2. A long thin straight wire with linear charge density (lambda) runs down the center of a thin, hollow metal cylinder of radiu

Electrostatics: Field and Potential for Spherical Charges

In a conductor, all the charges must lie on the surfaces. In addition to the charge q on the inner sphere, note that induced positive and negative charges can strategically be distributed on the surfaces of the outer conduction shell. Which results in no net charge on the shell. See attached file for full problem description.

Gaussian surface

Please help with the following problem. Step by step calculations are given. (See attached file for full problem description with proper symbols) A long straight conducting rod carries a linear charge density of +2.0 uC/m . This rod is totally enclosed within a thin cylindrical shell of radius R, which carries a linear c

Electric field inside the sphere using Gauss' law

Solid insulation sphere of non-uniform charge density. Finding the electric field in side the sphere using Gauss' law: (a) Consider a solid insulating sphere of radius b with non-uniform charge density s= ar, where 'a' is a constant. Find the charge Q_r contained within the radius r, when r < b. (b) If a = 2 x 10^-6 C

Electric field for a given charge density.

(See attached file for full problem description) --- A plastic sheet of thickness t has a uniform free charge density, +&#61554;, embedded inside, and also one surface has a surface charge of -&#61555;. Find the electric field and the potential as functions of distance from one surface. [Please neglect the issues of dielec

Discussing Gauss's Law

A very long, insulating, cylinder with a radius of 1.0 cm has a uniform positive charge density of 1.0 C / m^3. (a) What is the magnitude of the electric field 0.5 cm from the center of the cylinder? (b) What is the magnitude of the electric field at the surface of the cylinder, i.e. 1.0 cm from the center of the cylinder? (c) W

Electrical Field on a Gaussian Surface

The electrical field in a particular space is E = (X + 1.2)1 N/C with x in meters. Consider a cylindrical Gaussian surface of radius 16 cm that is coaxial with the x axis. One end of the cylinder is at x = 0. (a) What is the magnitude of the electric flux through the other end of the cylinder at x = 3.2 m? (b) What net charge is

Gauss' law

A small nonconducting ball of mass m=1.0mg and charge q=2x10^-8C(distributed uniformly through its volume) hangs from an insulating thread that makes an angle of 30 degrees with a vertical, uniformly charged nonconducting sheet. Considering the gravitational force on the ball and assuming the sheet extends far vertically and in

Spherical conducting shell, particle with a charge

Please show all work and show all equations used and diagrams. 1) A spherical conducting shell has charge Q. A particle with charge q is placed at the center of the cavity. The charge on the inner surface of the shell and the charge on the outer surface of the shell, respectively are: 2) A particle with a charge of 5.5*1

Finance and investment problem

PROBLEM OF (1) You are required to analyse each of the areas of statistics relating to business decision making explaining in detail what each of them do. . ? Descriptive Measures ? Probability ? Sampling Distributions ? Linear Regression ? Time Series Forecasting ? Index Numbers Decision Making (2

Gauss's Law Cylinder

See attachment for complete question and diagram. For points far from the ends of the cylinders, determine the electric field at the following radial distances from the central axis. (a) r = 2.0 cm (b) r = 6.0 cm (c) r = 13 cm

Gauss's Law Spheres

A point charge of 3.40 nC is located at the origin and a second charge of -5.40 nC is located on the x axis at x = 1.50 m. Calculate the electric flux through a sphere centered at the origin with radius 1.00 m. Repeat the calculation for a sphere of radius 2.00 m.

Coulomb's Law and Electric Field

Three very large square planes of charge are arranged as shown (on edge). From left to right, the planes have charge densities per unit area of -0.50 uC/m^2, +0.10 uC/m^2, and -0.40 uC/m^2. Find the total electric field (direction and magnitude) at the points A, B, C, and D. Assume the plates are much larger than the distance AD

Accuracy of First Order Theory

Problem 20: The finite size of the proton perturbs the energy of the n = 1 orbit in a hydrogen atom. (i) Given the proton to be a uniformly charge sphere of radius R = 1 fm, determine the first order energy shift, making reasonable approximations. How accurate should the first order theory be in this case? (ii) Do the

A square conducting slab with 10m sides carries a net charge of 10 micro Coulombs. Use Gauss' law to find E inside the slab and close to its surfaces, far from the edges of the slab. The slab is placed to the right of an infinite charged nonconducting plane with charge density of 2 X 10^-6 C/m^2 so that the faces of the slab are parallel to the plane. Find the electric field on each side of the slab far from its edges and the charge density on each face.

A square conducting slab with 10m sides carries a net charge of 10 micro Coulombs. Use Gauss' law to find E inside the slab and close to its surfaces, far from the edges of the slab. The slab is placed to the right of an infinite charged nonconducting plane with charge density of 2 X 10^-6 C/m^2 so that the faces of the sl

Conductors and Dielectrics

a. A piece of plexiglass (k = 3.2) is placed above an infinite plane of charge with charge density sigma = 0.1 uC/m^2. Compute the bound charge on the bottom surface of the dielectric. Be careful of the sign. b. A material is charged such that the electric field just inside it is 10N/C and is pointed into the boundary. The e

Electrostatic flux of simple systems.

We learned that the magnitude of the electric field at a point a distance r from an infinite straight wire with a uniformly distributed positive charge E=2k&#955;/r, where &#955; is the charge per unit length on the wire. Imagine that we surround a portion of such a wire with a closed surface shaped like a cylindrical can.

Use Gauss's Law to find the electic field, electric potential

A solid insulating sphere has a radius A and net charge of +Q. The insulating sphere has a uniform charge density. a conducting sphere of inner radius B and outer radius C surrounds it. I. Use Gauss's Law to find the Electic Field for R<A II. Use Gauss's Law to find the Electic Field for A<R<B III. Use Gauss's Law to fin