The only answers I know are for number 2a = 100N and 3b = 0.225 Nm but I don\'t

Question

The only answers I know are for number 2a = 100N and 3b = 0.225 Nm but I don't know how to arrive at these or any of them! Help is very appreciated!!! 2. Forces in an NMR Magnet The magnetic fields used in nuclear magnetic resonance are created by large currents flowing in electromagnets. The wires in the electromagnets are within the high-field region. Magnetic forces on the wires lead to significant stresses in the electromagnets. Suppose a segment of wire carries a 100 A current in a 10Tmagnetic fiel Find the maximum magnetic force on a segment which is 10 cm long. (b) pose a square loop carries a counter-clockwise current in a region where the field points out of the page. Find the direction of the force on the right-hand segment. Does the magnetic force compress the loop or pull it apart? 3. Magnetic Torque A square loop carries a clockwise current 1 5 A. An external magnetic field with magnitude B 2 T points to the right. Each side of the square is 15 cm long. (a) Find the direction of the magnetic force on each of the four segments of the loop. Explain your method. Indicate the directions on the figure (b) The forces in part (a) correspond to a torque which causes the loop to rotate. Suppose the rotation axis passes through the center of the loop. Draw the rotation axis as a dashed line on the figure. (c) According to our theory, the torque is u x B, where is the magnetic moment vector and B is the magnetic field. Eind the direction of H x B and draw it on the figure. (d) Find the magnitude of the torque on the loop.

Explanation / Answer

(2).(a). Current i = 100 A

magnetic field B = 10 T

Length L = 10 cm = 0.1 m

Force F = BiL = 10x100x0.1

= 100 N

(b). For right hand sigment , length L = L j Where j = unit vector along upward direction.

Magnetic field B = B k Where k = unit vector along out of the page

Force F = I ( L X B )

= ILB ( j X k ) Where I = current

= ILB ( i ) Unit vector along right

(c). It pulls the loop

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