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When at rest, a proton experiences a net electromagnetic force of magnitude 8.6×

ID: 583199 • Letter: W

Question

When at rest, a proton experiences a net electromagnetic force of magnitude 8.6×1013 Npointing in the positive x direction. When the proton moves with a speed of 1.6×106 m/s in the positive y direction, the net electromagnetic force on it decreases in magnitude to 7.3×1013 N , still pointing in the positive x direction.

(a) Find the magnitude of the electric field.

(B) Find the direction of the electric field.

Positive x direction

Negative x direction

Positive y direction

Negative y direction

Positive z direction

Negative z direction

(C) Find the magnitude of the magnetic field.

(D) Find the direction of the magnetic field.

Positive x direction

Negative x direction

Positive y direction

Negative y direction

Positive z direction

Negative z direction

Explanation / Answer

a) as the proton is at rest the only force acting on it electric force

F =qE

E =F/q

F = 8.6 x10-13N

q = 1.6 x 10-19 C

plugging in we get

electric field E = 5.375 x 106 N/C

b) along positive X

C) net force = magnetic force + electric force

=> magnetic force F = -1.3 x10-13N

F =qvB

=> B = F/qv

plugging in the values we get

B =0.508 T

D) as the magnetc force directed along negative x

field is drected along negative Z

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