First slide

Force on a charged particle moving in a magnetic field

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

Easy

A

Along positive y-axis
B

Along positive z-axis
C

Along negative y-axis
D

Along negative z-axis

Solution

To move the electron in xy plane, force on it must be acting in the y-direction initially. The direction of $\vec{F}$ is known, and the direction of v is known, hence by applying Fleming's left hand rule, the direction of magnetic field is also determined. Also,
$\hat{j} = - e (\hat{i}) \times (\hat{k})$

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