What is the ˆ? component of the force exerted on the electron by the magnetic fi

Question

What is the ˆ? component of the force exerted on the electron by the magnetic field? Need Help with all 3 questions, do not recall learning about vectors.

001 (part 1 of 3) 10.0 points The magnetic field over a certain range is given by B = Blit By J, where B,-7T and By-5 T. An electron moves into the field with a velocity u = vr l+vyjtuz k, where Vz = 4 m/s, t',-9 m/s and uz = 7 m/s. The charge on the electron is-1.602 × What is the î component of the force ex- Answer in units of N 10-19 erted on the electron by the magnetic field? 002 (part 2 of 3) 10.0 points What is the j component of the force? Answer in units of N 003 (part 3 of 3) 10.0 points he force? What is the k component of t Answer in units of N

Explanation / Answer

given

B = 7i + 5j

v = 4i + 9j + 7 k

the force on the electron is

F = q( vX B)

vXB = matrix | i j k, (4,9, 7 ), (7, 5,0) |

vXB = -i ( 7(5) + j ( 7(7) + k (63-20)

= - 35 i + 49 j + 43 k

F = ( -1.602 * 10 ^-19 C) ( - 35 i + 49 j + 43 k)

=56.97 * 10^-19 N i- 78.49 * 10^-19 j - 68.88 * 10 ^-19 N k

the i component force is 56.97 * 10^-19 N i

the j comonent force is - 78.49 * 10^-19 j

the z component force is - 68.88 * 10 ^-19 N k

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