Integrating a Uniform Magnetic Field: Solving for ∫Bdl

[Mdhiggenz]

Homework Statement

I already worked out the right hand side. What is giving me problems is figuring out the left hand side, ∫Bdl

Since B is uniform, it can be removed from the integral leaving B∫dl

now I'm stuck.

Homework Equations

The Attempt at a Solution

 

[TSny]

What is giving me problems is figuring out the left hand side, ∫Bdl

Since B is uniform, it can be removed from the integral leaving B∫dl

now I'm stuck.

∫dl is just the sum of all the elements of length around the circle of radius R. Your work up to this point looks good to me.

 

[Mdhiggenz]

in that case would it simply be 2pir?

 

[TSny]

Yes, with r = R.

 

[Mdhiggenz]

Thanks TSny.