A charge q moves region in a electric field E and the magnetic field B both exist, then the force on its is

Options

A. `q (vecv xx vec B)`
B. ` q vec E +q (vec vxx vec B)`
C. `q vecB +q (vecB xx vecv)`
D. `q vecB + q (vec Exx vecv)`

Answer

B

Explanation

The electric force acting on the charged particle due to electric field is `vec F_(e)=q vecE`
and the magnetic forcde acting on the same charge q due to magnetic field is `F_(m) =q (vec v xx vecB)`
`therefore` The net force acting on the charged particle due to both fields is
`vecF = vecF_(e) + vecF m =q vecE+q (vec v xx vecb)`
This force is known as the Lorentz force.