Electricity and Magnetism Answers

In Cartesian coordinates, verify that ∇•(MA) = A •∇M + M∇•A where A = xyz(ax + ay + az) and
M= 3xy + 4zx by carrying out the indicated derivatives.

An object carries a charge q=-4.8*10 -6 C. calculate the number of electrons corresponding to this charge

Find the total charge within a volume defined by:
1 ≤ r ≤ 5, π/6 ≤ θ ≤ π/2, π/4 ≤ φ ≤ 3π/4
if the charge density is given as:
Pr= rcos φ

Calculate the work ∆W required to move the cart along the circular path from point A to point
B if the force field is F = 3xyax + 4xay.

An electron enters the magnetic field at right angles from left,B is into the paper. The electron will be deflected?

In the Bohr’s Hydrogen model, the electron is imagined to move in a circular orbit about a stationary proton. The force responsible for the electron circular motion is the electric force between the electron and the proton. Given that the radius of the electron’s orbit is 5.29x10-11m, and its mass is me=9.11x10-31km. Find the electron’s speed.

you are provided with a bar magnet X and three other bars A, B and C. One is a magnet, the other is a magnetic material and the other is a non-magnetic material. Name the material from which the magnet X is made

If the expression for the field quantity E in free space is given by: E= E_0 Sin (ωt-kz)a_x,where E_o,ω&k are constants.Find the remaining three field quantities. (i.e. D, B & H)

The amount of flux in a round magnetic rod measured at 0.013 weber.If the diameter of the material is 12 cm, calculate the flux density?

A cannon and a target are 5.10 km apart and located at the same level. How soon will the shell launched with the initial velocity 240 m/s reach the target in the absence of air drag?