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The gure below is a crosssectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I1 = 1.08 A out of the page and the current in the outer conductor is I2 = 3.02 A into the page. Assuming the distance d = 1.00 mm, answer the following. (a) Determine the magnitude and direction of the magnetic eld at point a. direction (b) Determine the magnitude and direction of the magnetic field at point b. direct-Ion The magnetic field 36.0 cm away from a long, straight wire carrying current 1.00 A is 560 nT. (a) At what distance is it 56 nT? E... (b) At one instant, the two conductors in a long household extension cord carw equal 1.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 36.0 cm away from the middle of the straight cord, in the plane of the two wires. Em (c) At what distance is it one-tenth as large? :icm (d) The center wire in a coaxial cable carries current 1.00 A in one direction, and the sheath around it carries current 1.00 A in the opposite direction. What magnetic field does the cable create at points outside the cables? :lnT A single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.240 A. The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30.0 turns/cm and carries a clockwise current of 15.0 A. (3) Find the force on each side of the loop. direction (in) Find the magnitude of the torque acting on the loop. ) r. A cube of edge length i' = 3.40 cm is positioned as shown in the figure below. A uniform magnetic eld given by B = (5.3 i + 4.0:? + 3.0 k) T exists throughout the region. (a) Calculate the magnetic flux through the shaded face. :l m (b) What is the total flux through the six faces? :l m A solenoid of radius r = 1.25 cm and length f' = 28.0 cm has 330 turns and carries 12.0 A. (I l3 (9 (a) Calculate the flux through the surface of a disk-shaped area of radius R = 5.00 cm that is positioned perpendicular to and centered on the axis of the solenoid as in the figure (a) above. $qu (b) Figure (b) above shows an enlarged end View of the same solenoid. Calculate the flux through the tan area, which is an annulus with an inner radius of a = 0.400 cm and outer radius of b = 0.800 cm. :qu A wire carries a 4.80-A current along the X axis, and another wire carries a 2.40-A current along the y axis, as shown in the figure below. What is the magnetic eld at point P, located at x = 4.00 m, y = 3.00 m? magnitude :liii direction .r lo (4.00, 3.00) [11 PT + .V