Question

Write the relation for the force f acting ona charge carrier q moving with a velocity v through a magnetic field B in vector notation.usingthis relation,deduce condition under which this force will be (1) maximum (2) minimum.

Answer 1

Answer:

F=q(v x B)=qvB sin@ @=angle btw the velocity and the magnetic field

v and B are vector

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Answer 2

The relation for the force f acting on a charge carrier q moving with a velocity v through a magnetic field B is given as follows :

Explanation:

The relation for the force f acting on a charge carrier q moving with a velocity v through a magnetic field B is given by :

$F=q(v\times B)$

or

$F=qvB\sin\theta$

$\theta$ is the angle between velocity and the magnetic field

For maximum force, the angle between velocity and magnetic field must be maximum. If $\theta=90^{\circ}$, $F=qvB$

For minimum force, the angle between velocity and magnetic field must be minimum. If $\theta=0^{\circ}$, $F=0$

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