- #1
merrypark3
- 30
- 0
Homework Statement
panofsky 10.3
Find the torque on a solid conducting cylinder rotating slowly in a uniform magnetic field perpendicular to the axis of the cylinder.
The Attempt at a Solution
let the radius of cylinder r, and the conductivity is σ, the rotating angular velocity is [itex]\stackrel{\rightarrow}{ω}[/itex]
j=σ(u×B)=ρv=σ((ω×r)×B)
[itex]\stackrel{\rightarrow}{j}=σ((\stackrel{\rightarrow}{ω}×\stackrel{\rightarrow}{r}) ×\stackrel{\rightarrow}{B})=ρ\stackrel{\rightarrow}{v}[/itex]
[itex]\stackrel{\rightarrow}{τ}=∫(ρ\stackrel{\rightarrow}{v}×\stackrel{\rightarrow}{B} )dV=0[/itex]
Homework Statement
Is it right?