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 current swirling downward within the funnel.

3.) A positively charged projectile is fired upward in the vertical z-y plane at an angle of 56.9 degrees above the positive y-axis. It travels through a uniform magnetic field directed in the positive x-direction. How many degrees below the positive y axis will be the direction of the resulting magnetic force? (remember that charge is negative)

4.) The magnetic field in a region is uniform, has a value of 6.10T, and points in the positive x-direction. A small sphere with a mass of 12x10^-5 kg and a charge of 926 micro C is fired into that region at a speed of 1.14E4 m/s. If it enters travelling at 30 degrees to the positive x-axis, what is the magnitude of the magnetic force it will experience?

5.) A straight current-carrying (108 amps) wire makes an angle of 30 deg. with a .269T uniform magnetic field. What is the magnitude of the force exerted on an 525 cm length of the wire?