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

  • Thread starter Baron
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In summary, the equation F=qvB represents the force experienced by a charged particle moving through a magnetic field. It was derived from the Lorentz force equation, and its variables include force, charge, velocity, and magnetic field. The unit for each variable is Newtons, Coulombs, meters per second, and Teslas respectively. This equation has many real-world applications, including in particle accelerators, mass spectrometers, and magnetic levitation trains, as well as in understanding the behavior of charged particles in space and designing electric motors and generators.
  • #1
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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  • #2
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:
 

1. What does the equation F=qvB represent?

The equation F=qvB represents the force experienced by a charged particle moving through a magnetic field.

2. How was the equation F=qvB derived?

The equation F=qvB was derived from the Lorentz force equation, which describes the force on a charged particle due to its motion through an electric and magnetic field.

3. What are the variables in the equation F=qvB?

The variables in the equation F=qvB are force (F), charge (q), velocity (v), and magnetic field (B).

4. What is the unit for each variable in the equation F=qvB?

The unit for force (F) is Newtons (N), charge (q) is Coulombs (C), velocity (v) is meters per second (m/s), and magnetic field (B) is Teslas (T).

5. What are some real-world applications of the equation F=qvB?

The equation F=qvB is used in many real-world applications, including particle accelerators, mass spectrometers, and magnetic levitation trains. It is also essential in understanding the behavior of charged particles in space and in the design of electric motors and generators.

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