Positively Charged Particle in a Magnetic Field

In summary, a positively charged particle enters a magnetic field pointing out of the page with a velocity in the upward direction. Based on the equation \vec{F}=Q\vec{v}\times\vec{B}, the force due to the magnetic field is horizontally to the right. This is determined using the right hand rule.
  • #1
amcavoy
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In the attached figure (also at http://img215.imageshack.us/img215/3231/lorentz5sa.png" ) is a positively charged particle entering a magnetic field that points out of the page. The velocity of the particle is in the upward direction, orthogonal to the magnetic field.

My only question is, based on the equation [itex]\vec{F}=Q\vec{v}\times\vec{B}[/itex], am I correct to say that the force due to the magnetic field is horizontally to the right?

Thank you.
 

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  • #2
amcavoy said:
In the attached figure (also at http://img215.imageshack.us/img215/3231/lorentz5sa.png" ) is a positively charged particle entering a magnetic field that points out of the page. The velocity of the particle is in the upward direction, orthogonal to the magnetic field.

My only question is, based on the equation [itex]\vec{F}=Q\vec{v}\times\vec{B}[/itex], am I correct to say that the force due to the magnetic field is horizontally to the right?

Thank you.
yes, that's correct
 
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  • #3
yes you can say that by using the left hand rule.
 
  • #4
gem0688 said:
yes you can say that by using the left hand rule.
I am not sure if that was a typo or a joke, so just in case...
Amcavoy is correct by the standard convention which is the right hand rule.
 
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  • #5
JustinLevy said:
I am not sure if that was a typo or a joke, so just in case...
Amcavoy is correct by the standard convention which is the right hand rule.

soz, typo! :blushing: :redface:
 

FAQ: Positively Charged Particle in a Magnetic Field

What is a positively charged particle?

A positively charged particle is an atom or molecule that has lost one or more electrons, resulting in a net positive charge. This can occur through various processes such as ionization or chemical reactions.

What is a magnetic field?

A magnetic field is a region in space where a magnetic force can be detected. It is created by moving electric charges, such as those found in magnets or electric currents.

How does a positively charged particle behave in a magnetic field?

A positively charged particle in a magnetic field will experience a force that is perpendicular to both the direction of the magnetic field and the direction of motion of the particle. This force causes the particle to move in a circular or helical path.

What is the relationship between the strength of the magnetic field and the behavior of a positively charged particle?

The strength of the magnetic field affects the radius of the circular or helical path that the positively charged particle will follow. A stronger magnetic field will result in a smaller radius, and a weaker magnetic field will result in a larger radius.

Can a positively charged particle be affected by a magnetic field in a vacuum?

Yes, a positively charged particle can be affected by a magnetic field in a vacuum as long as it is in motion. This is because a magnetic field does not require a medium to propagate and can act on charged particles at a distance.

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