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FerN61
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Homework Statement
A wire of length L=20cm travels with an acceleration a=0.002m/s2 perpendicular to the Earth's magnetic field (B=20μT). Considering that the wire starts from rest, calculate the value of the emf (electromagnetic force) when an hour has gone by.
Homework Equations
My question: Is current being induced in the wire by the magnetic field?
The Attempt at a Solution
I know I first need to calculate a magnetic flux.
So I got the speed after one hour:
V=Vo+at = 0+3600(.002) = 7.2 m/s
Then, magnetic fied for a finite wire:
B=(μ0 I /4 pi r) 2*∫cos (opposite angle) from 0 to pi/4
20μT= (√2 μ0 I )/ 4 pi r
141.42 = I / r = (dq/dt) / r
I'm thinking since the magnetic field is perpendicular, there is a centripetal acceleration and I can get the radius from there, but I got stuck, and I'm not even sure if the previous work is right. I don't really know how tho get the magnetic flux if the wire is moving, and I thought an area was needed, but this is just a wire. Any help will be greatly appreciated. Thank you.