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18 January, 11:50

A proton moving at 8.9 * 106 m/s through a magnetic field of 0.96 T experiences a magnetic force of magnitude 3.8 * 10-13 N. What is the angle between the proton's velocity and the field? The charge on a proton is 1.60218 * 10-19 C and its mass is 1.67262 * 10-27 kg.

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  1. 18 January, 14:52
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    Answer: 15.66 °

    Explanation: In order to solve this proble we have to consirer the Loretz force for charge partcles moving inside a magnetic field. Thsi force is given by:

    F=q v*B = qvB sin α where α is teh angle between the velocity and magnetic field vectors.

    From this expression and using the given values we obtain the following:

    F / (q*v*B) = sin α

    3.8 * 10^-13 / (1.6*10^-19*8.9*10^6 * 0.96) = 0.27

    then α = 15.66°
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