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>>Motion of a Charge in Magnetic Field
>> $An electron is moving along positive x -$

Question

An electron is moving along positive $x -$ axis. To get it moving on an anticlockwise circular path in $x - y$ plane, a magnetic field is applied

A

along positive $y -$ axis

B

along positive $z -$ axis

C

along negative $y -$ axis

D

along negative $z -$ axis

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Solution

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Correct option is B)

For the particle to move anti-clockwise, force should be in $\hat{j}$ direction.

$F = - e (v \times B) = - e (v \hat{i} \times B)$

$\Rightarrow B = B \hat{k}$ since LHS is in $\hat{j}$ direction.

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