First slide

Force on a charged particle moving in a magnetic field

Question

Lorentz force can be calculated by using the formula

Easy

A

$\vec{F} = q (\vec{E} + \vec{v} \times \vec{B})$
B

$\vec{F} = q (\vec{E} - \vec{v} \times \vec{B})$
C

$\vec{F} = q (\vec{E} - \vec{v} . \vec{B})$
D

$\vec{F} = q (\vec{E} \times \vec{B} + \vec{v})$

Solution

Lorentz force is given by
$\vec{F} = {\vec{F}}_{e} + {\vec{F}}_{m} = q \vec{E} + q (\vec{v} \times \vec{B}) = q [\vec{E} + (\vec{v} \times \vec{B})]$

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