At a certain location, Earth has a magnetic field of 0.60 10 -4 T, pointing 75°

Question

At a certain location, Earth has a magnetic field of 0.60 10-4 T, pointing 75° below the horizontal in a north-south plane. A 9.2 m long straight wire carries a 15 A current.

(a) If the current is directed horizontally toward the east, what are the magnitude and direction of the magnetic force on the wire?

Magnitude___________N

Direction__________

(b) What are the magnitude and direction of the force if the current is directed vertically upward?

Magnitude _________N

Direction_____________

Magnitude___________N

Explanation / Answer

a) In this case the formula for calculating the value of the magneticforce acting is F = BILsin? = (0.60 10-4 T)(15A)(9.2 m)sin90o = 85.5 * 10^-4 N b) In this case the magnitude of the force acting if the current isdirected vertically upwards is F =BILsin? = BILsin(90o + 75o) = BILsin165o = (0.60 *10^-4 T)(15A)(9.2m)sin165o = 22.12*10^-4 N

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