Electricity, Magnetism and Waves

Your company is designing a desktop-sized proton accelerator, using a 500MN/C superconducting magnet to hold the protons in a circular path. Estimate the maximum kinetic energy that your accelerator can give protons. Express your answer in the conventional particle physics unit of Electron volts, where 1eV=1.6x10^-19 J.(Assume that the protons are nonrelativistic, do the calculation, and then check that assumption)

Electric field

An electric dipole is constructed out of two point charges of equal magnitude q and opposite signs, separated by a distance d, as shown in the attached diagram. Find the electric field at the point P. (the two charges are each a distance r from point P). Thank you!

induced emf

A two turn circular wire loop of radius .262 m lies in a plane perpendicular to a uniform magnetic field of magnitude .373 T. Now the wire is reshaped from a two turn circle to a one turn circle in .134 s. What is the magnitude of the average induced emf in the wire during this time in units of V?

magnetic flux

The magnetic flux threading a metal ring varies with time t according to 3at^3-bt^2, with a = 7.7s^-3m^2T, and b = 2.8 s^-2m^2T. The resistance of the ring is 2.3 Ohms. Determine the maximum current induced in the ring during the interval from t1 = -2.3 s to t2 = 7.3 s. Answer in units of A

Rectangular Coil

The plane of a rectangular coil of dimension 5 cm by 8 cm is perpendicular to the direction of a magnetic field B. The coil has 29.7 turns and a total resistance of 12.8 Ohms. At what rate must the magnitude of B change in order to induce a current of .227 A in the windings of the coil in units of T/s?