Help with question related to magnetism

[Antithesis]

Hello,

I was hoping if any of you could help me with this problem. It's one of the many I have for my homework assignment.

A long straight wire carries a current i. A particle having a positive charge q and mass m kept at a distance x from the wire is projected towards it with a speed u. Find the minimum separation between the wire and the particle.

Any help would be greatly appreciated. I'm in high school, btw.

Thank you.

 

[Hootenanny]

Hello,

I was hoping if any of you could help me with this problem. It's one of the many I have for my homework assignment.

A long straight wire carries a current i. A particle having a positive charge q and mass m kept at a distance x from the wire is projected towards it with a speed u. Find the minimum separation between the wire and the particle.

Any help would be greatly appreciated. I'm in high school, btw.

Thank you.

Hi Antithesis and welcome to PF,

What are your thoughts on the question? What have you tried thus far?

 

[baba89]

Hello,

I would be happy to help you with this problem related to magnetism. This type of problem falls under the category of electromagnetism, which deals with the interactions between electrically charged particles and magnetic fields.

To solve this problem, we can use the formula for the magnetic force on a charged particle moving through a magnetic field, which is given by F = qvB, where F is the force, q is the charge of the particle, v is its velocity, and B is the magnetic field strength. In this case, the magnetic field is created by the current i in the wire.

We can also use the formula for the centripetal force, which is given by F = mv^2/r, where m is the mass of the particle, v is its velocity, and r is the radius of its circular motion. In this case, the particle is moving in a circular path around the wire.

Setting these two forces equal to each other, we can solve for the minimum distance x between the wire and the particle. This will give us the point at which the magnetic force is equal to the centripetal force, allowing the particle to maintain its circular motion without getting closer or farther away from the wire.

I hope this helps you with your homework assignment. If you need further clarification or assistance, please don't hesitate to ask. Keep up the good work in your studies!