The current in a power line goes horizontally to right, and the earth\'s magneti

Question

The current in a power line goes horizontally to right, and the earth's magnetic field angles into the ground, as shown below. Both the current and the earth's magnetic field are in the plane of the paper. Using the points of the compass (i.e. geographic directions), what is the direction of the magnetic force on the power line? South The magnetic force is zero West North If the magnitude of the current in the power line is 211 A, and the magnitude of the earth's magnetic field is 0.5c-4 T, what is the magnitude of the magnetic force per length on the power line? 0.0081 N 0.0068 N 0.0646 N 0.0N 0.1877 N

Explanation / Answer

14)   Magnetic Force on a Current-Carrying Wire = I (L X B)

Here, length vector is pointing towards right .

magnetic field vector is pointing towards ground in plane of paper .

The magnetic force on a current-carrying wire is perpendicular to both the wire and the magnetic field with direction given by the right hand rule.

Curl fingers as if rotating vector I into vector B . The thumb is the direction of force F .

=> magnetic force is into the plane of paper .

=> Using points of compass direction of magnetic force on power line is towards East .

15)   Magnetic force per length on power line =   211 * 0.5 * 10-4 * sin130

                                                                                 = 0.0081 N

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