2. A long thin straight wire with linear charge density (lambda) runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density (2 * lambda) . Assume (lambda) is positive. Find expressions for the electric field strength.
A) Inside the cylinder (r<R)
B) Outside the Cylinder (r>R)
In what direction the electric field points in each case?
3. A hollow metal sphere has inner radius "a" and outer radius "b". Hollow sphere has charge + 2Q. A point charge + Q sits at the centre of the hollow sphere.
a) Determine the electric fields in the three regions r<= a, a<r<b and r>= b.
b) How much charge is on the inside surface of the hollow sphere and outside surface?
4. The conducting charge in the attached figure has been given an excess negative charge. The surface density of excess electrons at the center of the top surface is 5 * 10^10 electrons / m^2.
What are the electric field strengths E1 to E3 at points 1 to 3?© BrainMass Inc. brainmass.com October 16, 2018, 7:08 pm ad1c9bdddf
Electricity & Magnetism Qualitative Problems
Here is a list of Qualitative problems which need the physics explained for each, diagrams, and equations with text are welcome.
1) The vector potential and the magnetic field inside and outside of a diamagnetic sphere in a uniform magnetic field
2) The vector potential and the magnetic field inside and outside of a uniformly magnetized sphere
3) Sketch the vector potential for at least four simple geometric cases, explain the sketches.
4) The electric potential and the electric field for (charge) monopoles, dipoles and quadrupoles
5) The vector potential and the magnetic field for (magnetic) monopoles, dipoles and quadrupoles
6) Surface polarization charges (aka, bound surface charges) versus volume polarization charges (aka, bound volume charges)
7) Surface magnetization currents (aka, bound surface currents) versus volume magnetization currents (aka, bound volume currents)
8) The relationship between the magnetic scalar potential and the magnetic field
9) The electric potential and the electric field inside capacitors containing dielectrics
10) The electric potential and the electric field inside capacitors containing ferroelectrics
11) The vector potential and the magnetic field inside inductors containing diamagnets
12) The vector potential and the magnetic field inside inductors containing ferromagnets
13) The displacement current and Maxwell's equations
14) E for a charge inside a dielectric; B for a point magnetic dipole inside a diamagnet
15) P for changing electric fields; M for changing magnetic fieldsView Full Posting Details