A charge q moves in a region where electric field as well as magnetic field exist, then force on it is

Options

A. `qvec(v)xxvec(B)`
B. `qvec(E)+qvec(v)xxvec(B)`
C. `qvec(E)+qvec(B)xxvec(v)`
D. `qvec(B)+q(vec(E)xxvec(v))`

Answer

B

Explanation

If `vec(E)` is the electric field strength and `vec(B)` the magnetic field strength and q the charge on a particle, then electric force on the charge.
`vec(F)_(e)=qvec(E)`
and magnetic force on the charge
`vec(F)_(m)=qvec(v)xxvec(B)`
The net force on the charge
`vec(F)=vec(F)_(e)+vec(F)_(m)=qvec(E)+qvec(v)xxvec(B)`