Magnetic field affecting a circular loop

[Bilbo B]

Homework Statement

Given a circular loop with current flowing placed in an external magnetic field. How to account for the magnetic force the field is going to exert on the loop and in what ways it will affect it? Will it will produce any motion if the magnetic field is constant and no change in flux?

Relevant Equations

Magnetic field due to circular loop

If the magnetic field is constant then no change in flux will bring no induced emf nor any induced current.
With the loop is in rest position the external magnetic field will exert a force but to calculate that force with the help of magnetic field isn't obvious.
If this were a charged loop, the force would've been calculated by multiplying the total charge with the external field but this doesn't seems to happen in case of current carriers(multiplying "i" with magnetic field ). So how to get it?
And if it exerts force whether it won't accelerate causing it to move or if it is the current or the moving electrons which are experiencing the force.

 

[berkeman]

Welcome to the PF.

Have you learned how to calculate the force on a straight current-carrying wire in an external magnetic field? The calculation for a wire loop in a magnetic field is just an extension of that simpler calculation...

https://courses.lumenlearning.com/p...gnetic-force-on-a-current-carrying-conductor/

https://en.wikipedia.org/wiki/Electromagnet#Lorentz_forces