005 (part 1 of 3) 10.0 points The magnetic field over a certain range is given b

Question

005 (part 1 of 3) 10.0 points The magnetic field over a certain range is given by B-Bi+ Byj, where Bx -2 T and B, -7 T. An electron moves into the field with a velocity Uitvyj+vx k, where 6 m/s, vy 3 m/s and 2 m/s The charge on the electron is -1.602 x 10-19 c What is the î component of the force ex- erted on the electron by the magnetic field? Answer in units of N 006 (part 2 of 3) 10.0 points What is the j component of the force? Answer in units of N 007 (part 3 of 3) 10.0 points What is the k component of the force!? Answer in units ofN

Explanation / Answer

F = q ( v x B)

q = -1.602 x 10^-19 C

v = 6i + 3j + 2k

B = 2i + 7j

v x B = 42 k - 6 k + 4 j - 14 i

= - 14 i + 4j + 36 k

F = 2.2428 x 10^-18 i - 6.408 x 10^-19 j - 5.7672 x 10^-18 k

1. Fx = 2.2428 x 10^-18 N  

2. Fy = - 6.408 x 10^-19 N  

3. Fz = - 5.7672 x 10^-18 N

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