- Homework Statement:
- A conducting wire of lengh l is fixed to an insulator disk that rotates with ω. The wire is on a plane perpendicular to a uniform magnetic field B. Find the potencial difference between the middle of the wire and one of it's ends.
- Relevant Equations:
- V=ωr, E=BVL
For a infinitesimal wire of lengh dx, the induced potential difference in an uniform B field perpendicular to it's motion is :
dE=B.Vp.dx, where Vp is the component of the velocity perpendicular to the wire.
Looking to the big wire I tried to take an arbitrary point express dE in function of only one variable and integrate over the half of the wire. I believe that this method should work, although very long and leading to boring integrals. Would there be a way using Faraday's law, or at least some kind of simplification that could lead to the solution?