Question

which of the following represents the
correct expression of lorentz force?
1. B
2.eV
3. BV
4.BeV​

Answer 1

lorentz force represents correct expression is bev

Answer 2

Answer:

The correct expression representing Lorentz force is Bev i.e.option(4).

Explanation:

The Lorentz force is defined as the combination of the magnetic and electric force on a point charge due to electromagnetic fields. It is given as,

$F=F_E+F_B$       (1)

$F$=total force in the electromagnetic field

$F_E$=force due to electric field

$F_B$=force due to magnetic field

Also,

$F_E=qE$              (2)

$F_B=q(v\times B)$     (3)

Where,

$q$=point charge

$E$=electric field in which the charge is moving

$B$=magnetic field in which the charge is moving

v=velocity with which the charge is moving

By substituting equations (2) and (3) in equation (1) we get;

$F=qE+q(v\times B)$        (4)

Let's consider that E=0. Then equation (4) becomes,

$F=q\times 0+q(v\times B)=qvB$      (5)

If the charge moving is an electron the equation (5) becomes;

$F=evB$             (∴q=e)

Hence,the correct expression representing Lorentz force is Bev i.e.option(4).