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。1 with your solution. Do not write on this sheet. urn in this sheet Write in pencil only . 1. A closed loop of wire carries a current I as shown at right. Determine the magnitude and direction of the magnetic field at point P. You must show the entire derivation for the field in order to receive full credit for this problem. 2. Two infinitely long wires lie in the xy plane parallel to each other, each carrying 20.0 A of current. One of the wires sits at y -6.00 cm and carries current in the -x direction. The other wire sits at y +6.00 cm and wires end-on, looking at it from the +x direction. You must show your Free-Body Diagrams in order to receive full credit for this problem. a. Determine the net magnetic field from these two wires at y -3.00 cm b. Determine the net magnetic field from these two wires at y 0 cm. c. Determine the net magnetic field from these two wires at y +9.00 cm. 3. A long straight wire of radius R has a nonuniform current density J(r) -alr for r R. where a is a constant. You must show your Amperian loops in order to receive full credit for this problem. a. Find the total current in the wire. b. Find the expression for the magnetic field inside the wire (r < R) c. Find the expression for the magnetic field outside the wire (r> R) d. Sketch a graph of the field as a function of the distance r from the center of the wire.
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