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Gauss' Law

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

Quadratic residues 2

6. Use Gauss' Lemma to show that 17 is a quadratic residue module 19. Please see attached.

Gauss's Law

(See attachment for diagram and background of this question concerning Gauss' Law) (a) What is the electric field inside the middle sheet? (b) What is the electric field between the left and middle sheets? (c) What is the electric field between the middle and right sheets? (d) What is the charge density on the sur

Spherical Electric Charge Field

A solid insulating sphere of radius R has an electric charge uniformly distributed throughout its volume. The charge per unit volume is p (a) Show that outside the sphere the electric field is given by E= pR3 divided by 3EOr squared, where r is the distance from the center of the sphere. (b) Show that the field inside the sphere

Spherical Electric Field

A solid insulating sphere of radius R has an electric charge uniformly distributed throughout its volume. The charge per unit volume is p. A) Show that outside the sphere the electric field is given by E = (pR3/3E0r2), where r is the distance from the center of the sphere. B) Show that the field inside the sphere is given by (

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

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=2kλ/r, where λ 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

Charge density...electric field...electric potential

A (infinitley long) cylindrical non-conducting tube, inner radius a and outer radius b, with charge density p0 sits in a vacuum. Find (show work and derive) and sketch a plot as a function of radius r: A) the charge density B) the total charge enclosed in a cylindrical gaussian surface of radius r C) the electric fie