Is There an Equation for the Force on a Charged Particle in a Magnetic Field?

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In summary, there is an equation called the Lorentz force equation that can be used to calculate the force exerted on a charged particle moving perpendicularly through a magnetic field. This can be found on Wikipedia and in standard textbooks. To determine the direction of the force, the vector cross product of (qv) and (B) should be used, with the direction depending on the sign of q. This information was provided by the conversation between the two speakers.
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Kracatoan
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Just wondering, is there an equation for the force exerted on a charged particle moving perpendicularly through a magnetic field?
 
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Ah I see, but how do I get the vector cross product for something like a beta particle passing though a magnetic field which is perpendicular to it?
 
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Kracatoan said:
Ah I see, but how do I get the vector cross product for something like a beta particle passing though a magnetic field which is perpendicular to it?

The direction is found using (qv)x(B). So depending on the sign of q, your vector will point in one of two possible directions.
 
  • #5
Ah Excellent. Thanks you two.
 

FAQ: Is There an Equation for the Force on a Charged Particle in a Magnetic Field?

What is Faraday's Left Hand Rule?

Faraday's Left Hand Rule is a rule used in electromagnetism to determine the direction of the magnetic field created by a current-carrying wire. It is named after the scientist Michael Faraday.

How is Faraday's Left Hand Rule used?

To use Faraday's Left Hand Rule, first point your left thumb in the direction of the current. Then, point your left index finger in the direction of the magnetic field. Finally, point your left middle finger perpendicular to your thumb and index finger. The direction your middle finger is pointing is the direction of the resulting force on a positive charge in the wire.

What is the difference between Faraday's Left Hand Rule and the Right Hand Rule?

Faraday's Left Hand Rule is used to determine the direction of the magnetic field created by a current, while the Right Hand Rule is used to determine the direction of the force on a current-carrying wire in a magnetic field.

What are some real-life applications of Faraday's Left Hand Rule?

Faraday's Left Hand Rule is used in various industries, such as in the design of electric motors, generators, and transformers. It is also used in medical imaging techniques, such as magnetic resonance imaging (MRI).

Is Faraday's Left Hand Rule always accurate?

Like any scientific rule, Faraday's Left Hand Rule is based on certain assumptions and simplifications. It may not always give an accurate prediction of the direction of the magnetic field, especially in complex or non-uniform systems. However, it still serves as a useful tool for understanding and analyzing electromagnetic phenomena.

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