How is the Equation F=qvB for Force on a Current Carrying Conductor Derived?

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SUMMARY

The equation F=qvB, representing the force on a current-carrying conductor in a magnetic field, is derived from the Biot-Savart Law. This law describes the magnetic field generated by an electric current and establishes the relationship between current, velocity, and magnetic field strength. Understanding this derivation requires a grasp of vector calculus and electromagnetic principles. The discussion emphasizes the importance of conceptualizing the interaction between electric charges and magnetic fields.

PREREQUISITES
  • Biot-Savart Law
  • Vector calculus
  • Electromagnetic theory
  • Fundamentals of electric current
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  • Study the Biot-Savart Law in detail
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  • Investigate applications of F=qvB in electromagnetic devices
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Students of physics, educators teaching electromagnetism, and engineers working with electromagnetic systems will benefit from this discussion.

Baron
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Hi Guys,

How was the equation (F=qvB) for the force on a current carrying conductor in a magnetic field derived. I'm trying to understand the conceptual thought that went into obtaining this?

Thank you in advance
 
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Baron said:
Hi Guys,

How was the equation (F=qvB) for the force on a current carrying conductor in a magnetic field derived. I'm trying to understand the conceptual thought that went into obtaining this?

Thank you in advance

Start with the Biot-Savart Law: http://en.wikipedia.org/wiki/Biot–Savart_law

:smile:
 

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