# Problem: An electron moves with velocity v = ( 5.3 î - 5.5 ĵ ) × 104 m/s in a magnetic field B = ( -0.61 î + 0.66 ĵ ) T.a.) determine the x-component of the force on the electron.b.) determine the y-component of the force on the electron.c.) determine the z-component of the force on the electron.

###### FREE Expert Solution

Magnetic force:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{q}}{\mathbf{v}}{\mathbf{B}}}$

q = -e = -1.6 × 10-19 C

F = (-1.6 × 10-19)(5.3i - 5.5j) × 104 × (-0.61i + 0.66j) = (-1.6 × 10-15)(5.3i - 5.5j)(-0.61i + 0.66j)

###### Problem Details

An electron moves with velocity v = ( 5.3 - 5.5 ) × 104 m/s in a magnetic field B = ( -0.61 + 0.66 ) T.

a.) determine the x-component of the force on the electron.

b.) determine the y-component of the force on the electron.

c.) determine the z-component of the force on the electron.