Find lorentz force

Question

explain lorentz force. a charge particle of charge(in coulomb) equal to 17, moving in magnetic field given by B= -3.1i+2.97j-13.97j. if velocity of tha particle is v= 131.23i-237.79j+7k then find lorentz force on charge particle due to this magnetic field

Answer 1

When a charged particle moves in a magnetic field, it experiences the Lorentz force defined by this equation:

F=q vxB. Here the quantities in bold are vectors, so in this case, all we need to do is calculate the cross product between the velocity v and the magnetic field B:

vxB=(131.23i-237.79j+7k) x (-3.1i+2.97j-13.97k)=((-237.79)(-13.97) - (7)(2.97))i + ((7)(-3.1)-(131.23)(-13.97))j + ((131.23)(2.97)-(-237.79)(-3.1))k

Having vxB as above, we can easily find F by multiplying it by the charge q.