1. A closed semi-circular loop of radius R=0.5 m is placed in the x y plane, and the loop carries a current I = 4 A in the counterclockwise (CCW) direction as shown in the figure. A uniform magnetic field B = 0.6 T pointing in the +y direction is applied. What is the direction of magnetic force F, acting on the straight segment along (a) х-ахis? ds R/ (b) magnetic force, |F| on the straight segment along x-axis? What is the magnitude of the do (c) What is the direction of magnetic force F2 acting on the semicircular arc segment? (d) For the line integral on the semicircular arc segment, the small arc length vectors are defined ds = dsê = Rd0(- sin 0 î + cos 0 j). What is the magnitude of the magnetic force, F2| on the semicircular arc segment? as, (e) What is the net force Fnet acting on the semi-circular wire?

1. A closed semi-circular loop of radius R=0.5 m is placed in the x y plane, and the loop carries a current I = 4 A in the counterclockwise (CCW) direction as shown in the figure. A uniform magnetic field B = 0.6 T pointing in the +y direction is applied. What is the direction of magnetic force F, acting on the straight segment along (a) х-ахis? ds R/ (b) magnetic force, |F| on the straight segment along x-axis? What is the magnitude of the do (c) What is the direction of magnetic force F2 acting on the semicircular arc segment? (d) For the line integral on the semicircular arc segment, the small arc length vectors are defined ds = dsê = Rd0(- sin 0 î + cos 0 j). What is the magnitude of the magnetic force, F2| on the semicircular arc segment? as, (e) What is the net force Fnet acting on the semi-circular wire?

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Magnetic Fields

Section: Chapter Questions

Problem 34P: A rectangular loop of wire has dimensions 0.500 m by 0.300 m. The loop is pivoted at the x axis and...

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A circular coil of five turns and a diameter of 30.0 cm is oriented in a vertical plane with its axis perpendicular to the horizontal component of the Earths magnetic field. A horizontal compass placed at the coils center is made to deflect 45.0 from magnetic north by a current of 0.600 A in the coil. (a) What is the horizontal component of the Earths magnetic field? (b) The current in the coil is switched off. A dip needle is a magnetic compass mounted so that it can rotate in a vertical north-south plane. At this location, a dip needle makes an angle of 13.0s from the vertical. What is the total magnitude of the Earths magnetic field at this location?
A rectangular loop of wire has dimensions 0.500 m by 0.300 m. The loop is pivoted at the x axis and lies in the xy plane as shown in Figure P28.34. A uniform magnetic field of magnitude 1.50 T is directed at an angle of 40.0 with respect to the y axis with field lines parallel to the yz plane. The loop carries a current of 0.900 A in the direction shown. (Ignore gravitation.) We wish to evaluate the torque on the current loop. (a) What is the direction of the magnetic force exerted on wire segment ab? (b) What is the direction of the torque associated with this force about an axis through the origin? (c) What is the direction of the magnetic force exerted on segment cd? (d) What is the direction of the torque associated with this force about an axis through the origin? (e) Can the forces examined in parts (a) and (c) combine to cause the Loop to rotate around the x axis? (f) Can they affect the motion of the loop in any way? Explain. (g) What is the direction of the magnetic force exerted on segment bc? (h) What is the direction of the torque associated with this force about an axis through the origin? (i) What is the torque on segment ad about an axis through the origin? (j) From the point of view of Figure P28.34, once the loop is released from rest at the position shown, will it rotate clockwise or counterclockwise around the x axis? (k) Compute the magnitude of the magnetic moment of the loop. (l) What is the angle between the magnetic moment sector and the magnetic field? (m) Compute the torque on the loop using the results to parts (k) and (l). Figure P28.34
A current path shaped as shown in Figure P30.13 produces a magnetic field at P, the center of the arc. If the arc subtends an angle of = 30.0 and the radius of the arc is 0.600 in. what are the magnitude and direction of the Held produced at P if the current 3.00 A?
Why is the following situation impossible? The magnitude of the Earths magnetic field at either pole is approximately 7.0 105 T. Suppose the field fades away to zero before its next reversal. Several scientists propose plans for artificially generating a replacement magnetic field to assist with devices that depend on the presence of the field. The plan that is selected is to lay a copper wire around the equator and supply it with a current that would generate a magnetic field of magnitude 7.00 105 T at the poles. (Ignore magnetization of any materials inside the Earth.) The plan is implemented and is highly successful.