One component of a magnetic field has a magnitude of 0.062 T and points along th

Question

One component of a magnetic field has a magnitude of 0.062 T and points along the +x axis, while the other component has a magnitude of 0.030 T and points along the -y axis. A particle carrying a charge of +5.00 × 10^-5 C is moving along the +z axis at a speed of 5.40 × 10^3 m/s.
(a) Find the magnitude of the net magnetic force that acts on the particle?
(b) Determine the angle that the net force makes with respect to the +x axis?

21 P01 One component of a magnetic field has a magnitude of 0.062 T and points along the +x axis, while the other component has a magnitude of o.030 Tand points along the y axis. A particle carrying a charge or s oo x 1o s c is moving along the axis at a speed of 5.40 x 103 m/s. (a) Find the magnitude of the net magnetic force that acts on the particle? (b) Determine the angle that the net force makes with respect to the +x axis? Il video

Explanation / Answer

here,

the magnetic feild , B = 0.062 T i - 0.03 T j

q = 5 * 10^-5 C

v = 5400 m/s k

a)

the magnetic force , F = q * ( v X B)

F = 5 * 10^-5 * ( 5400 k X (0.062 T i - 0.03 T j ))

F = 0.01674 j + 0.0081 i

the magnitude of force , |F| = sqrt(0.01674^2 + 0.0081^2)

|F| = 1.86 * 10^-2 N

b)

the angle , theta = arctan(0.01674/0.0081)

theta = 64.2 degree counterclocwise from +x axis

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