One component of a magnetic field has a magnitude of 0.0303 Tand points along th

Question

One component of a magnetic field has a magnitude of 0.0303 Tand points along the +x axis, while the other componenthas a magnitude of 0.0744 T and points along the -y axis.A particle carrying a charge of +2.82 x 10-5 C is movingalong the +z axis at a speed of 4.65 x 103 m/s.(a) Find the magnitude of the net magnetic force that acts on theparticle. (b) Determine the angle that the net force makes withrespect to the +x axis.

(a)

Number

Units

(b)

Number

Units

Answer a1: the tolerance is +/-2%
Answer b1: the tolerance is +/-2%

Chapter 21, Problem 8

Explanation / Answer

F = q v x B v x B = 4.65 * 10E3 k x(.0303 i - .0744 j) = 141j + 346 i Magnitude of v x B =(1412 + 3462) = 374 q v x B (magnitude) = 374 * 2.82 * 10E-5 =.011 N Direction of v x B    tan = 346 / 141 = 67.8 deg above x-axis in x-y plane Magnitude of v x B =(1412 + 3462) = 374 q v x B (magnitude) = 374 * 2.82 * 10E-5 =.011 N Direction of v x B    tan = 346 / 141 = 67.8 deg above x-axis in x-y plane

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