Why is electromagnetic force perpendicular to magnetic field?

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SUMMARY

The electromagnetic force (FM) is defined by the equation FM = qV + B sinθ, where θ is the angle between the velocity vector and the magnetic field. When θ is 90 degrees, the force reaches its maximum magnitude, demonstrating that the electromagnetic force is inherently perpendicular to the magnetic field (B). This perpendicularity is a fundamental characteristic of electromagnetism, as illustrated by the right-hand rule, which dictates the direction of the force based on the orientation of the charge and magnetic field.

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  • Understanding of basic electromagnetism concepts
  • Familiarity with the right-hand rule in physics
  • Knowledge of vector mathematics
  • Basic principles of force and motion
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  • Study the Lorentz force law in detail
  • Explore the right-hand rule applications in various electromagnetic scenarios
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so, i was told FM= qV + B sin[tex]\theta[/tex], where [tex]\theta[/tex]=90 in order to get the full magnitude of the force
but why is the electromagnetic force perpendicular to B?
also, looking upon the right hand rule, if the positive charge is heading towards you, and subsequently the magnetic field is then heading to left of you, the electromagnetic force then heads down; why is that?
perhaps this is a bit of a simplistic question for some, but I am very new to the field of physics and would very much like to understand the concept of electromagnetism
 
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I classify this question in the same category as the question "Why do masses attract and not repel?" THe answer to both is "Because that's how Nature works". In other words, it is equivalent to the question "Why does Nature work this way and not differently?"
 

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