Magnetic Force Exerted on Particle

In summary, the conversation discusses the calculation of the magnetic force exerted on a particle with given mass, charge, and velocity. The particle is initially accelerated through a potential difference and then enters a magnetic field. The formula for the force exerted by a magnetic field is mentioned, and the answer of 7.87e-12 N is provided.
  • #1
moebiusatg
1
0
Sorry for slightly disregarding the proper format but I'm really quite lost so I can abide by what is expected. However I will be detailed

Question is: A particle with a mass of 6.64e-27 kg and a charge of +3.2e-19 C is accelerated from rest through a potential difference of 2.45e6 V. The particle then enters a uniform 1.6-T magnetic field. If the particle's velocity if perpendicular to the magnetic field at all times, what is the magnitude of the magnetic force exerted on the particle?

I'm unsure how to start this problem but I know the answer is 7.87e-12 N.

Any help is greatly appreciated.

Thanks!
 
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  • #2
Please include any relevant equations you are aware of. What is the formula for force exerted by a magnetic field?
 

Related to Magnetic Force Exerted on Particle

What is magnetic force and how is it exerted on a particle?

Magnetic force is a type of physical force that is exerted on a particle due to the presence of a magnetic field. It is caused by the interaction between the particle's magnetic dipole moment and the magnetic field. The direction of the force is perpendicular to both the particle's velocity and the magnetic field.

How is the magnitude of magnetic force determined?

The magnitude of magnetic force exerted on a particle is determined by the strength of the magnetic field, the charge of the particle, and the velocity of the particle. It follows the equation F = qvBsinθ, where q is the charge of the particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the particle's velocity and the magnetic field.

What is the direction of magnetic force on a particle?

The direction of magnetic force on a particle can be determined using the right-hand rule. If the particle's velocity and the magnetic field are both represented by vectors, then the direction of the force is perpendicular to both vectors and follows the direction of the cross product between them. Alternatively, the direction can also be determined by the Lorentz force law, which states that the force is perpendicular to both the velocity and magnetic field vectors.

How does the motion of a particle affect the magnetic force exerted on it?

The magnetic force exerted on a particle depends on its motion. If the particle is at rest, there is no magnetic force acting on it. If the particle is moving parallel to the magnetic field, there is also no magnetic force acting on it. However, if the particle is moving perpendicular to the magnetic field, it will experience a maximum magnetic force. If the particle is moving at an angle to the magnetic field, the force will be somewhere in between these two extremes.

What are some real-life applications of magnetic force on particles?

Magnetic force on particles has many practical applications. Some common examples include magnetic levitation, which uses magnetic force to suspend objects in the air, and magnetic resonance imaging (MRI), used in medical imaging to visualize the inside of the body. Magnetic force is also used in particle accelerators, electric motors, and generators, among other technologies.

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