The magnetic field in a region of space is specified by its x, y, and z components which are respectively bx = 0.146 t, by = 0.177 t, and bz = 0.200 t. if a 30.0-cm wire carrying a current of 3.35 a is oriented along the z-axis with the current in the −z direction, determine the magnitude and direction of the force acting on the wire.

Explanation:

It is given that, the magnetic field in a region of space is specified by its x, y, and z components are given by :

Length of the wire, L = 30 cm = 0.3 m (along z axis)

Current flowing through the wire, I = 3.35 A (along -z axis)

Magnetic force is given by :

Since,

|F| = 0.446 N

Direction of force:

Hence, this is the required solution.

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