In: Physics
Ampère's law in free space may be written as ∮ ? . ?? = ???
a) Write the equation in words, giving the meaning of each parameter.
b) Starting with the equation above obtain an expression for the law in differential form.
c) A long wire P carries a current ?. Use the law to show that the magnetic field at a radial distance r from the wire is ? = ??? / 2?? [3] [4] [4] Page 4 of 4 A second long wire Q is placed parallel to wire P, with the two wires separated by a perpendicular distance ?. The second wire also carries a current ? but in the opposite direction to the current in wire P.
d) Draw a diagram to illustrate the wires and the directions of the currents.
e) Show on the diagram the directions of the forces that the wires experience. Explain clearly the reason for these directions.
f) Show that the force per unit length on the wires is ??? ^2 / 2??
g) Power lines separated by a distance of 2.0 m carry a current of 180 A. Determine the force per unit length experienced by each wire.