The magnetic force acting on a charged particle of charge -2 μC in a magnetic field of 2T acting in y direction, when the particle velocity is $left parenthesis 2 straight i with hat on top space plus 3 straight j with hat on top right parenthesis space straight x space 10 to the power of 6 space ms to the power of negative 1 end exponent space is$

8N in -z direction

4N in z direction

8 N in y direction

8 N in z direction

Solution

8N in -z direction

When a charge q moves with the velocity v inside the magnetic field of strength B, then force on the charge is called magnetic Lorentz force. The magnetic Lorentz force is in the direction of vector
$bold v with bold rightwards arrow on top bold space bold x bold space bold B with bold rightwards arrow on top Magnetic space Lorentz space force space straight F with rightwards arrow on top space equals space straight q space left parenthesis bold v with bold rightwards arrow on top bold space bold x bold space bold B with bold rightwards arrow on top right parenthesis equals space minus 2 space straight x space 10 to the power of negative 6 end exponent space left square bracket space 2 space straight x space 2 space straight x space 10 to the power of 6 right square bracket space equals space 8 space straight N space along space negative space straight z space axis$