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One component of a magnetic has a magnitude of 0.045T and points along the +r axis, while the other component has a magnitude of 0.065T and points along the -y axis. A 1- gram particle carrying a charge of +2.0 ൈ 10-ହC Cis moving along the +Z and at a speed of 4.2 ൈ 10ଷ/. Determine the angle that the net force makes with respect to the +r axis,

Answer :

ONYEBUCHINNAJIGO

The angle that the net force makes with respect to the x- axis, is determined as 55.3⁰.

Angle of the net force

The angle that the net force makes with respect to the +x axis, is determined as follows;

F = qvBsinθ

with respect to y-axis

Fy =  qv(By)sinθ

with respect to x-axis

Fx =  qv(Bx)sinθ

The angle that the net force makes with respect to the +x axis;

tanθ = Fy/Fx

tanθ = qv(By)sinθ / qv(Bx)sinθ

tanθ = By/Bx

tanθ = 0.065/0.045

tanθ = 1.444

θ = tan⁻¹(1.444)

θ = 55.3⁰

Thus, the angle that the net force makes with respect to the x- axis, is determined as 55.3⁰.

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