First slide

Force on a charged particle moving in a magnetic field

Question

A vertical wire carries a current in upward direction. If an electron beam sent horizontally towards the wire, then it will deflected

Moderate

A

Vertically downwards and perpendicular to the plane of the paper
B

Vertically upwards and perpendicular to the plane of the paper
C

In the plane of the paper
D

No deflection

Solution

$\vec{F} = q \vec{V} \times \vec{B}$
$= - eV \hat{i} \times B (- \hat{j})$
$\vec{F} = eVB \hat{k}$
Force is vertically upwards perpendicular to plane of paper.

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