An electric charge + q +q moves with velocity v → = 3 i ^ + 4 j ^ + k ^ , in an electromagnetic field given by : E → = 3 i ^ + j ^ + 2 k ^ and B → = i ^ + j ^ + 3 k ^ . The y-component of the force experienced by + q is :

Step-by-step solution

F → = q E → + v → × B → = q 3 i ^ + j ^ + k ^ + i ^ j ^ k ^ 3 4 1 1 1 + 3 = q 3 i ^ + j ^ + 2 k ^ + i ^ 1 2 - 1 - j ^ 9 - 1 + k ^ 3 - 4 = q 3 i ^ + j ^ + 2 k ^ + 12 i ^ - i ^ - 9 j ^ + j ^ + 3 k ^ - 4 k ^ q = 14 i ^ - 7 j ^ + k ^ = F y = - 7 q j ^