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

Question

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

Tardigrade Admin · Accepted Answer

overset arrow F=q overset arrow V× overset arrow B =-eV hati× B(- hatj) overset arrow F=eVB hatk Force is vertically upwards perpendicular to plane of paper. Solution

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

Vertically downwards and perpendicular to the plane of the paper

Vertically upwards and perpendicular to the plane of the paper

In the plane of the paper

No deflection

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