As shown in the figure below, a rectangular wire of side lengths a and b, and...

 

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As shown in the figure below, a rectangular wire of side lengths a and b, and carrying a current 13 is placed in between two infinitely-long wires, carrying currents / and 12, respectively. All residing on the x-y plane. A) (10 points) Find the total magnetic field created by the two infinitely-long wires, in the plane of the rectangular loop. B) (10 points) Find the expression of the total magnetic flux that is coupled to the rectangular loop. (You can simply construct the expression as is, no need to evaluate it.) C) (20 points) Find the total magnetic force on the rectangular loop due to the magnetic field generated by both infinitely-long wires carrying currents / and /2. D) (10 points) If the loop was allowed to move freely, without changing its shape, which way would it move? h 13 y 12 As shown in the figure below, a rectangular wire of side lengths a and b, and carrying a current 13 is placed in between two infinitely-long wires, carrying currents / and 12, respectively. All residing on the x-y plane. A) (10 points) Find the total magnetic field created by the two infinitely-long wires, in the plane of the rectangular loop. B) (10 points) Find the expression of the total magnetic flux that is coupled to the rectangular loop. (You can simply construct the expression as is, no need to evaluate it.) C) (20 points) Find the total magnetic force on the rectangular loop due to the magnetic field generated by both infinitely-long wires carrying currents / and /2. D) (10 points) If the loop was allowed to move freely, without changing its shape, which way would it move? h 13 y 12