Question

3) A horizontal current loop with a diameter of 12cm has 80 winding turns and carries a current of 1.3 amps in the clockwise direction when viewed from above.

a) [4] Make a sketch of the magnetic fields

b) [2] Find the magnetic field at the center.

c) [2] Find the magnetic field along the axis, a distance of 3 cm from the center of the loop.

4) The earth’s north pole is a magnetic south pole. The field above the pole is ~0.05mTesla. A proton from the sun with a velocity of 1,000,000m/s enters this magnetic field.

a) [4] Find the force on the proton if the velocity is perpendicular to the Magnetic field.

b) [4] This is a centripetal force that makes them take circular orbits. Find the radius of the orbit. (See text chapter 5)  

5) Parasitic power theft:

A power line running East-West at 150kVAC carrying a 75MWatt load is 10 meters overhead. A thief makes a 100 turn loop of insulated copper wire around a plastic garbage can with a 70cm diameter. The voltage generated in this coil is used to charge batteries for a fish-finder, lights and radio in his fish hut. The battery charger is electrically equivalent to a 5 ohm resistor.

a) [2] What orientation of the garbage pail winding will allow the greatest rate of electricity theft?

b) [4] Determine the voltage generated across the battery charger.

c) [2] Residential power costs $0.10/kWh. What is the value of the power stolen per day.

d) [2] Why would metal can be a bad choice?

e) [4] Above the indication is that the other wire for the AC power transmission is very far away. In fact they both hang from the same structure. If each wire carries a 100amp current and they are separated by 50cm, determine the force per unit length on the wires

Answer 1

First 2 queston of the image posted is being answered here.