The wire is kept in the x-axis, where the current is flowing in the positive x-direction.
Thus, the expression of the magnetic force on the current carrying wire is given using the given data in equation (i) as follows:
……………………………. (ii)
According to the vector product of two vectors, obtain the magnetic field as:
Thus, the force equation (ii) now can be given using the given data as follows:
Hence, the value of the magnitude of the force is .