How Do Magnetic Forces Affect Parallel Wires and Moving Protons?

AI Thread Summary
The discussion centers on the magnetic forces between two parallel wires, A and B, with only wire A carrying a current. It concludes that wire B experiences no magnetic force when only wire A is active, as there is no current in wire B to interact with the magnetic field created by wire A. Additionally, when considering a proton moving towards wire B, the force on the proton is influenced by the current in wire A, which is directed out of the paper. The right-hand rule (RHR) is applied to determine the direction of the magnetic field and forces involved. Overall, the key takeaway is that a current in both wires is necessary for an induced force between them.
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Homework Statement



Two long parallel wires A and B. They are shown from a plane perpendicular to the wires.
There is a point P with some distance "d". This creates an "L" shape if you play connect the dots and look down on the paper.

1)What is the magnetic force on wire B if only A carries a current?

In this scenario the current in wire A is headed into the paper or away from me when looking down. Using the RHR this means my fingers are curled clockwise.

2)What is the magnetic force on proton P traveling to the right(in the direction of B) if only wire A is carrying a current.

In this scenario the current in wire A is headed out of the paper or towards me when looking down. Using the RHR this means my fingers are curled counter-clockwise.



The Attempt at a Solution



1) I figured, from using the RHR, that the field at B from A points down, tangent to the circular magnetic field lines(again looking down at the paper). Since only wire A has current running through it and none through wire B that there shouldn't be any force exerted on wire B(at least i believe so). If there was current running through wire B then the force on B would either attract or repel from A depending on current direction. My answer is there is no force on B or zero force.

2)I have no clue how to work this(well I'm not confident if i do know) but if i were to try and give it a go, I would have to say that the force on the proton is going to point towards the direction the current flows which is out of the paper in this scenario. I figured i'd use the RHR yet again.

Any help(if wrong) or a clearer understanding(if right) would be nice.
Thanks.
 
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pyradell said:

Homework Statement



Two long parallel wires A and B. They are shown from a plane perpendicular to the wires.
There is a point P with some distance "d". This creates an "L" shape if you play connect the dots and look down on the paper.

1)What is the magnetic force on wire B if only A carries a current?

In this scenario the current in wire A is headed into the paper or away from me when looking down. Using the RHR this means my fingers are curled clockwise.

2)What is the magnetic force on proton P traveling to the right(in the direction of B) if only wire A is carrying a current.

In this scenario the current in wire A is headed out of the paper or towards me when looking down. Using the RHR this means my fingers are curled counter-clockwise.



The Attempt at a Solution



1) I figured, from using the RHR, that the field at B from A points down, tangent to the circular magnetic field lines(again looking down at the paper). Since only wire A has current running through it and none through wire B that there shouldn't be any force exerted on wire B(at least i believe so). If there was current running through wire B then the force on B would either attract or repel from A depending on current direction. My answer is there is no force on B or zero force.

2)I have no clue how to work this(well I'm not confident if i do know) but if i were to try and give it a go, I would have to say that the force on the proton is going to point towards the direction the current flows which is out of the paper in this scenario. I figured i'd use the RHR yet again.

Any help(if wrong) or a clearer understanding(if right) would be nice.
Thanks.

Don't you need a current in both wires to get an induced force?
 
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