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Figure 32-22a shows a pair of opposite spin orientations for an electron in an external magnetic field
Figure 32-22 Question 4.
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- î × ƒ = k‚ ƒ × k = î, k×î=j, A× B = -B × A, |Ã× B|= AB sin 0, FB = qv×B,H R = = mv ‚ FÅ = IL × B. qB Problem 1: A proton (q B = = +e = +1.60 × 10-19 C) moves through a uniform magnetic field given by (0.011 -0.02ĵ+ 0.03) T. At this instant the proton has a velocity given by v = v×î + vyĵ + (2000 m/sec)k and the magnetic force on the proton is F = (4.0 × 10¯¹7N)î + (2.0 × 10¯¹7 N)ĵ. What are v and vy? Answer: vx = -3500 m/sec and vy = 7000 m/sec.arrow_forwardA circular loop with radius 3 placed on the plane 2x + y + 2z = -8 has current equal to 2 A. What is the magnetic moment of the loop? -6 T (2 +y+22) 8 m = ;= 을 (2% + y+22) O m=187 (2X+ỷ + 22) =글 (2% +y+22) O m36(2x +ỷ+22)arrow_forwardIn Fig.96, the hollow conducting hemisphere of radius R=10 cm, uniform surface charge density σ = 8 × 10-⁹ C/m², which rotates around its axis of symmetry with a constant angular speed of w = 100 rad/s, a spherical segment has been removed, limited by the angle 0-45°. Find the magnetic energy of interaction between the cut hemisphere and the particle of interior magnetic moment "u" that is located on the axis at a distance d=10 cm from 0. Ομ d ...... Fig.96 Rarrow_forward
- What is the energy difference between parallel and antiparallel alignment of the z component of an electron’s spin magnetic dipole moment with an external magnetic field of magnitude 0.25 T, directed parallel to the z axis?arrow_forwardOne long wire lies along an x axis and carries a current of 40 A in the positive x direction. A second long wire is perpendicular to the xy plane, passes through the point (0, 6.8 m, 0), and carries a current of 46 A in the positive zdirection. What is the magnitude of the resulting magnetic field at the point (0, 0.90 m, 0)?arrow_forwardThe force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?arrow_forward
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