Find the direction of the magnetic field. No magnetic force acts on the proton w

Question

Find the direction of the magnetic field. No magnetic force acts on the proton when it's going north, so the angle such a proton makes with the magnetic direction must be either 0 degree or 180 degree. Therefore, the magnetic field must point either north or south. Now apply the right-hand rule. Find the magnitude of the magnetic force. Substitute the given values and the charge of a proton into Equation 19. 1. From part (a), the angle between the velocity of the proton and the magnetic field is 90. 0 degree. Calculate the gravitational force on the proton and compare it with the magnetic force, and also with the electric force if E = 1. 50 x 102 N / c. When the particle travels east, the magnetic force is directed upward. Point your thumb in the direction of the force and your fingers in the direction of the velocity eastward. When you curl your fingers, they point north, which must therefore be the direction of the magnetic field. F = qvBsin theta = (1. 60 x 10-19 C)(1. 14 x 105 m / s) x (5. 88 x 10-5 T)sin(90. 0 degree ) The information regarding a proton moving north was necessary to fix the direction of the magnetic field. Otherwise, an upward magnetic force on an eastward-moving proton could be caused by a magnetic field pointing anywhere northeast or northwest. Notice in part (c) the relative strengths of the forces, with the electric force larger than the magnetic force and both much larger than the gravitational force, all for typical field values found in nature. Suppose an electron is moving due west in the same magnetic field as in Example 19. 1 at a speed of 2. 31 x 105 m / s. Find the magnitude and direction of the magnetic force on the electron. F = N,

Explanation / Answer

b) F = 1.07251*10-18 N

c) Fgrav. = 1.6366*10-26 N, Felec = 2.4*10-17 N

19.1) F = qvBsin90 = 1.6*10-19*2.31*105*5.88*10-5 = 2.17325*10-18 N, into the page.

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