b) What is the volume charge density of an electric dipole consisting of a point charge-q at the origin and a point charge +q at a(bar)

c) What is the charge density of a uniform infinitesimally thin spherical shell shell of Radius R and total charge Q which is centered at the origin.
note: the integral over all space must equal Q)

Solution Summary

PDF and Word document attached show how to give an expression for charge density at a point and other questions.

Please show all work and show all equations used and diagrams, etc. etc. so I understand completely please.
1) Charge is placed on the surface of a 2.7cm radius isolated conducting sphere. The surface densitycharge is uniform and has the value 6.9*10^-6C/m^2. The total charge on the sphere is:
2) A spherical shell has a

Given two plane-parallel electrodes, space d, at voltages 0 and V_0, find the current density if an unlimited supply of electrons at rest is supplied to the lower potential electrode. Neglect collisions.

(See attached file for full problem description)
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1. Consider two infinite parallel plane conducting plates, of finite thickness, with separation d. Suppose a chargedensity of sigma; is placed on one plate, while the other plate has -2sigma.
A) Determine the resulting charge densities on each of the 4 surfaces
B) De

The electric field strength 4.10 cm from a very wide charged electrode is 4000 N/C.
What is thecharge (in nC) on a 2.00-cm- diameter circular segment of the electrode?

A square with sides of 2m has a line chargedensity of 3 uC/m throughout its four sides. It is inside a square with a line chargedensity of -2 uC/m, such that the two squares share the same center. This outer square has sides of 4m. What is the electric field at the center of the set up?
Please give a step by step solution,

The radii of curvature of the spheres of a spherical capacitor is given and to find thecharge, chargedensity and work done when it is connected to a battery.
See attached file for full problem description.

The full question is attached and comes in two parts, the first requires me to find the magnetic force acting on a point chargethe second asks me to determine thechargedensity and current density of the current electrons in the wire as well as the residual positive charge in the wire? Please help and show you working.

3. (a) Four point charges are placed at the vertices of a square as shown in the diagram.
Thecharges are of equal magnitude, Q, the sign of each charge is given in this diagram (attached).
(i) What is the value of V x E at all spatial points in this conﬁguration of charges (note that thecharges are stationary)? What is t

2. (a) (i) Write down Maxwell's equations for static electric and magnetic ﬁelds in the vacuum (note that you should include charge and current densities).
(ii) How did Maxwell modify Ampére's law to account for dynamic electric ﬁelds?
(b) In a region of space in which the relative permittivity is (attached equation),