Magnetic Forces on Electric Currentcarrying conductors
Force Acting on a Current Carrying WireA current carrying wire of length L in a magnetic field B experiences a force F given
F is the force exerted on the wire, i is the current in the wire and B is the force all represented by vectors. Hence the force is given by the cross product of vectors i and B multiplied by the length of the wire.
Example 1In the figure below, a magnetic field B out of the page exerts a force F (downward) on the current directed to the left. Again the right hand rule was used to find the direction of F as follows: Point the index finger in the direction of the current i  Point the middle finger in the direction of the magnetic field B and the thumb gives the direction of the force F.
Example 2A wire of length 150 cm carrying an electric current of 0.1 A in the negative x direction and perpendicular to a magnetic field B, experiences a force of 6.0 × 10^{3} N in the positive y direction due to a magnetic field. Find a) the magnitude and b) direction of the magnetic field.
Solution:
