What is the radius of the circular path? ANY HELP(: A proton moves at a speed of 8.4x10^4 m/s as it passes through a magnetic field of 12 mT.
Well start off with the force on a moving charge through a magnetic field. F=q(vxB) (V is crossed With B) Using the definition of a cross product this reduces to F = QvBSin(theta) Assuming the magnetic filed is perpendicular with the velocity the sine of angle between them is 1. Equating this with the centripetal force for circular motion yields mv2/r=qvB Solving for r you get r=(mv)/(qb) From there just plug in the numbers. Hope this Helps :)
There is a typo where i equated the forces it should be m(v^2)/r :)
What should go where when plugging in? >.<
Where; m= mass of the proton B= Magnetic field v= velocity of the proton
Join our real-time social learning platform and learn together with your friends!