Question

Please explain how and why! Thank you!

Change in a Magnetic Field the textbook on the Motion of a Charged Particle in a Moprie Ball • Phys 1402: Sorway/Vuille: Section 19.6, Active Figures 19.19 and 19 20, Example 196 • Phys 2426. SerwayJewett: Section 29.2, Active Figures 298 and 299. Example 293. me9 .1x10-11 kg. m, = 1.7x10-7 kg. 1 1 .6x10-16 1. A proton enters a repice of a uniform mapactio field with latyy=30*10m's in X direction. The magnitude of the field is 20 T and is in-Y direction What is the main force magnitude and direction exerted on the proton from the field? (9.6e-13 Nin Z direction into the page) An electron enters a region of a uniform mastis fild with sety-1010 is +X direction The magnitude of the field is 20 T and is in direction Whath i c force magnitude and direction exerted on the proton from the field? (9.6e-13 Nin Z direction or out of the page) S. An electron enters a region of a uniform mastic field with clocity=3010 m/s in X direction. The magnitude of the field is 2.0 T and is in-X direction. What is the nature of electron's trajectory in this field (a line, a circle, or a helix? (A line, because the velocity is parallel to the magnetic field) 4. A proton enters a region of a uniform mastic field with velocity that has X- and y-components V (3.0x10m/s) +(-2.0x10m/s) y. The magnitude of the field is 20 T and is in-X direction. What is the nature of proton's trajectory in this field (a line, a circle of a helix)? (A helix, because the velocity has both parallel and perpendicular components relative to the magnetic field) 5. A proton enters a region of a uniform manetic field with velocity that has Xandy-components, y (3.0x10m/s) x + (-2x 10 m/s) y. The magnitude of the field is 2.0 T and is in-Z direction. What is the nature of proton's trajectory in this field (a line, a circle of a helix)? (A circle, because both components of the velocity are perpendicular relative to the magnetic field) 6. An electron enters a region of a uniform magnetic field with velocity v - 3.0x10 m/s in +X direction. The magnitude of the field is 2.0 T and is in-Y direction. What are the radius and direction of electron's circular orbit? (8.5 mm clockwise as viewed toward - direction) 7. A proton enters a region of a uniform magnetic field with velocity v 3.0x10 m/s in +X direction. The magnitude of the field is 2.0 T and is in-Y direction. What are the radius and direction of proton's circular orbit? (1.6 cm counter clockwise as viewed toward-Y direction) 8. What would be the change in the trajectory of the electron from the question 16 with the gradual increase of the magnitude of magnetic field? (The electron will continue to rotate clockwise as viewed toward -Y direction but the radius of the traiectory will get gradually smaller)

Answer 1

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0 A proton enters a region of uniform hapodic field with velocly V = 3x10 m/s in the = 3x16 Force on the proton Now F = q (ux B) 16x16°x 3x10*x 2 (x-) = 9.6x10 (-) F election enters in a magnetic feld with B= 20 Tesla (-9) V = 3x10 ê inls Now force on electron F = q (0 x B) = -1.6xido (3x10 î x 2 (-2)] = 1.6X10 19x3x2* (% + 9) Newton = gebx103N (2) Now election enters a region of unifom magnetic field of J = 3 x 18 sê m/s and B= 21-?) wholm? Now Force = x- 22 q (VXB) = -1.6x10 | 3x10 As B and ū are in the same direction Then force =0 Hence election will follow the stright line mit no deflection . the proton has the velocity = 3x108 â– 2x10 9 m/s B -2 . Now As the vetaily has the & and ŷ & Component Then the path his be helix 6