Question

Derive an expression fort. force acting on a current carrying straight conductor kept in uniform magnetic field. Name the rule used to determine the direction of this force. Under what condition this force is maximum and zero?

Answer 1

REF.Image

Vd= drift velocity of $c^{\circ }$

Magnetic Lorents force

$\overline{f}=-e(\overline{Vd}\times \overline{B})$

Total force

$\overline{f}=N\overline{f}$

$=nAl[-e(\overline{Vd}\times \overline{B}\left)\right]$

$=nAle(\overline{Vd}\times \overline{B})$

$I=nAeVd$

$\overline{F}=I(\overline{l}\times \overline{B})=IlBsin\theta$

Maximum at $\theta =\frac{\pi }{2}$

$f=IlB$