How Does Increasing a Magnetic Field Affect the Speed of a Charged Particle?

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SUMMARY

Increasing the magnetic field strength (B) acting on a positively charged particle moving in a circular path will not change the speed (v) of the particle. According to the right-hand rule, if the magnetic field is directed into the page, the particle must move counterclockwise to ensure the magnetic force acts towards the center of the circle, providing the necessary centripetal acceleration. The relationship between magnetic field strength and particle speed is governed by the principles of electromagnetism, specifically the Lorentz force law.

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  • Understanding of the Lorentz force law
  • Familiarity with centripetal acceleration concepts
  • Knowledge of the right-hand rule for magnetic forces
  • Basic principles of circular motion
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Homework Statement



A positively charged particle moves in a circle of radius R in the plane of the page with velocity v when a magnetic field B is into the page. (a) If the magnetic field is increased, will the speed of the charged particle remain the same increase, or decrease?

Homework Equations





The Attempt at a Solution



I just have a problem which is the direction of the velocity I should take.. this problem is number 13 in this site http://www.wellesley.edu/Physics/phyllisflemingphysics/106_p_induction.html, and it's solution is here http://www.wellesley.edu/Physics/phyllisflemingphysics/106_s_induction.html
I didn't understood how to take the sense of v (clock wise or counterclock wise)...hope someone clarify.thanks.
 
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If B is into the page, the velocity must be counterclockwise for the force to be toward the center of the circle (by the right hand rule).
 

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