Determining the flux of an electric field. Solution in JPG format.

A charge Q sits at one corner of a cube. What is the flux of the electric field through an opposite face?

Determining surface charges and eletric fields in a spherical conductor. Solution in JPG format.

Consider a spherical conductor of radius R. Inside of it are two spherical cavities A and B, with radii a and b, respectively. Each cavity contains a point charge qa and qb, respectively. Find the surface charges for all three surfaces (R, the outer surfaces of the conductor, and the surfaces of the inner cavities A and B) and the electric fields.

Application of Biot Sarvat's Law.

Determine the magnitude and direction of the magnetic field at the origin in the case of two current loops as shown in the figures. See attached file for full problem description.

Determining the magnetic field at an axial point from the center of a current carrying loop. Solution in MS Word.

A circular loop of wire of radius R in the xy plane is carrying a steady current I. Calculate the magnetic field at an axial point P, a distance from the center of the loop.

Electromagnetism Problems

1.) A coaxial cable consists of central conducting wire embedded in a cylindrical insulating core, which is then surrounded by another outer conducting cylinder usually made of wrapped aluminum foil or copper braid. Suppose such a cable carries a current of 36.5A flowing in one direction along the wire and 2.19A flowing in the opposite direction along the foil. Use Ampere's Law to find the magnitude of the magnetic field at a radial distance of 58.3m outside the coaxial cable. 2.) In 1962, scientists at the Geophysical Observatory in Tulsa, OK measured a magnetic field of 31.7nT being generated by a large tornado about 18400m away. Use Ampere's Law to approximate the magnitude of the curr... click for more