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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

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