A wire carrying a current I along the positive x-axis has length L . It is kept in a magnetic field B → = 2 i ^ + 3 j ^ - 4 k ^     T . The magnitude of the magnetic force acting on the wire is:

Step-by-step solution

The formula to calculate the magnetic force acting on the wire is given by F → = I L → × B →       . . . 1 As the length of the wire is along positive x-axis, it can be written that L → = L i ^       . . . 2 Substitute the expressions of the required parameters into equation (2) to obtain the force. F → = I L i ^ × 2 i ^ + 3 j ^ - 4 k ^ = 3 I L k ^ + 4 I L j ^       . . . 3 Hence, the magnitude of the force can be written as F = 3