A +1.00 µC charged brass marble has a velocity of 15.0 m/s in the positive direction, or ū = (15.0 m/s, 0.00 m/s, 0.00 m/s), and moves in the presence of a 2.00 T magnetic field in the positive z direction, or B = (0.00 T, 0.00 T, 2.00 T). a. What is the vector valued magnetic force on the +1.00 µC brass marble? You may state a magnitude and direction or give the force as an ordered triple. b. Suppose that instead of having a charge of +1.00 µC, the charge is of the same magnitude but negative, or -1.00 µC. What is the vector valued magnetic force assuming the same magnetic field as in part (a)? c. Now, suppose a +2.00 µC charged osmium marble moves with a velocity of 15.0 m/s in the negative z direction, or parallel to the magnetic field in parts (a) and (b). What is the magnetic force on the marble?

An electron moves along the z-axis with v₂ = 4.7 x 107 m/s. As it passes the origin, what are the strength and direction of the magnetic field at the following (x, y, z) positions? Part A (1 cm, 0 cm, 0 cm) Express your answers using two significant figures.Enter your answers numerically separated by commas. Br, By, B₂ = Submit Part B VE ΑΣΦ Request Answer Ba, By, B₂ = Submit (0 cm, 0 cm, 1 cm) Express your answers using two significant figures. Enter your answers numerically separated by commas. IVE| ΑΣΦ ? Request Answer T ? T

In an old-fashioned television, a beam of electrons is accelerated to a speed of 2.3 × 106 m /s and then directed to the flat screen, a distance d = 0.05 m from the end of the accelerator, using magnets, as shown in the figure below. The mass of an electron is 9.1 × 10-31 kg. a. An electron, having just left the accelerator and traveling in the x direction, enters a region of uniform magnetic field, B = 1.5 x 10-4 T in the y direction. What is the force on the electron due to the magnetic field? Be sure to specify both the magnitude and direction. b. What is the radius of curvature of the path of the electron as it moves from the accelerator to the screen? c. With what speed does the electron hit the screen? d. How far from the center of the screen does the electron hit? That is, how far is the electron deflected by the magnetic field? В y accelerator d

n the figure, a small particle of charge -1.7 × 10-6 C and mass m = 2.1 × 10-12 kg has speed v0 = 7.1 × 103 m/s as it enters a region of uniform magnetic field. The particle is initially traveling perpendicular to the magnetic field and is observed to travel in the semicircular path shown with radius R = 3.0 cm. Find the magnitude and direction of the magnetic field in the region. Make sure to explain how you've determined the direction of the magnetic field

A proton, that is accelerated from rest through a potential of 60 kV enters the velocity filter, consisting of a parallel-plate capacitor and a magnetic field, shown below. What is the proton's speed? Take т, — 1.67 х 10 27 kg and e - 1.6 x 10 19 с. B The speed, v - Units Select an answer The E-field between the plates is 1.3 x 106 N/C. What B-field is required so that the protons are not deflected? The magnetic field, B = Units Select an answer

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Part B A particle with charge 8.26 x 10-8 C is moving in a region where there is a uniform 0.600 T magnetic field in the +x-direction. At a particular instant, the velocity of the particle has components Vz = -1.80 x 104 m/s, vy = -3.11 x 104 m/s, and vz = 6.35 x 104 m/s. What is the y-component of the force on the particle at this time? Express your answer with the appropriate units. HA х.101 X Fy = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining Part C What is the z-component of the force on the particle at this time? Express your answer with the appropriate units. µA F = Value Units Submit Request Answer

A proton moves with a velocity of = (6î – 4ĵ + k) m/s in a region in which the magnetic field is B = (1 + 2ĵ – k) T. What is the magnitude of the magnetic force this particle experiences? N Need Help? Read It Watch It

The uniform 30 mT magnetic field in figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 3.0 x 106 m/s and at an angle of ô = 30° above the xy-plane. Find the radius r and the pitch p of the electron's spiral trajectory. Z B 4

6. A wire with length L carries a constant current of I in the +y direction. See figure. It is in a region of space where the magnetic field is given by: B=-B, y (4) L positive constant. If the magnitude of the magnetic force on the wire is F, find Bo. The knowns are F, I and L. Start with dF = Idl x B I i, where Bo is a thickness = dy I L