Calculating Magnetic Force on a Charged Particle

AI Thread Summary
To calculate the magnetic force on a charged particle, the formula F=|q|vB sin θ is used, where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field. In this case, a particle with mass 2x10^-25 kg and charge 8e enters a magnetic field of 2.5 T at an angle of 70 degrees. The initial calculation yielded a force of 3 x 10^-13 N, but the expected answer is 1.1 x 10^-13 N. The discrepancy may arise from the interpretation of the angle θ, which should be the angle between the velocity vector and the magnetic field direction. Accurate representation of the vectors and angles is crucial for correct calculations.
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Homework Statement



A particle of mass M=2x10-25 kg, charge Q=8e, and velocity vector v=1.0x105 m/s j enters a uniform magnetic field of strength B=2.5 T. The magnetic firld vector B lies in the x-y plane at an angle of \alpha =70 degrees to the x-axis.

What is the magnitude of this initial force exerted on the particle.

Homework Equations



F=|q|vB sin \theta

The Attempt at a Solution



I used the above formula and got:

8(1.6 x 10-19) x 105 x 2.5 sin 70 =3 x 10-13

But the correct answer must be 1.1 x 10-13. What's the problem? I used the correct equation for magnitude of the magnetic force on a charged particle moving in a magnetic field, so why am I getting the wrong answer?
 
Last edited:
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The angle must between what and what ?

Draw on piece of paper, the force lines and the v vector.

You can't expect the numbers to be always ready to be plugged in :(
Referred in general, not only you.
 

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