There is a rectangular loop located to the right of a long wire that carries a current of 5 A, as shown in Figure 2.
Figure 2: Rectangular loop and straight conductor.
a) Calculate the magnetic field generated by the wire at a distance r from it. (Not only write the equation, but also the steps that led to it)
b) Calculate the net force experienced by the rectangular loop under the given conditions. Justify your answer.
Now suppose that a current of 2 A flows through the loop, and suppose that the left side of the loop is at a distance of 5 cm from the wire.
c) What direction must this current have (clockwise or counterclockwise) so that the force between the loop and the wire is attractive?
d) Calculate the net force experienced by the rectangular loop.
e) Calculate the total magnetic flux through the loop.
Hint: Find the flow differential for an area differential.