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Motional EMF in a Wire<br />
Force F on charge q in wire:<br />
F = qvB; Work = FL = qvBL<br />
Work qvBL<br />
E= <br />
q q<br />
EMF:<br />
E= BLv<br />
x x x x x x<br />
I<br />
x<br />
x x x x x x<br />
x x x x x x x<br />
x x<br />
I<br />
x x x x<br />
x x x x x<br />
L<br />
x v x<br />
x x x x x x<br />
x x x x x x x<br />
x<br />
F<br />
B<br />
v<br />
If wire of length L moves with<br />
velocity v an angle q with B:<br />
E=BLv sinq<br />
v sin q<br />
B<br />
q<br />
v<br />
Induced Emf E