A proton moving at 2.5 * 10^3 m/s horizontally enters a region where a magnetic field of 0.42 T is present, directed vertically upward. What magnitude and direction of force acting on the proton due to this field? (e = 1.60 * 10^-19 C)

Question

Physics

Aldo King

14 August, 14:37

A proton moving at 2.5 * 10^3 m/s horizontally enters a region where a magnetic field of 0.42 T is present, directed vertically upward. What magnitude and direction of force acting on the proton due to this field? (e = 1.60 * 10^-19 C)

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Answers (1)

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Brett Park · Answer 1

F = 1.68*10^-16 N, in the - y direction.

Explanation:

let v be the speed of the proton, q be the charge of the proton and B be the magnetic field.

Then, the force acting on the proton is given by:

F = q*B*v, F, B and v are vectors.

= (1.60*10^-19) * (0.42) * (2.5*10^3)

= 1.68*10^-16 N

since: F is the cross product of B and v by the right hand rule, choosing the direction of the speed of the proton to be in the x-axis and the direction of the magnetic field to be in the z-axis then the force will be the - y axis.