A high-voltage power line carries a current of 136 at a location where the Earth

Question

A high-voltage power line carries a current of 136 at a location where the Earth's magnetic field has a magnitude of 0.59 G and points to the north, 66 below the horizontal. Find the direction of the magnetic force exerted on a 310 length of wire if the current in the wire flows horizontally toward the east. Find the direction of the magnetic force exerted on a 310 length of wire if the current in the wire flows horizontally toward the east. a. force points toward south, 24 above the horizontal b. force points toward north, 24 above the horizontal c. force points toward south, 24 below the horizontal d. force points toward north, 66 above the horizontal Find the magnitude of the magnetic force exerted on a 310 length of wire if the current in the wire flows horizontally toward the east. Find the direction of the magnetic force exerted on a 310 length of wire if the current in the wire flows horizontally toward the south. a. force points toward the north b. force points toward the south c. force points toward the west d. force points toward the east Find the magnitude of the magnetic force exerted on a 310 length of wire if the current in the wire flows horizontally toward the south.

Explanation / Answer

Let's say the x-direction points east, the y-direction points north, and the z-direction points upward. (force on wire) = (current)(length of wire) x (magnetic field) F = iL x B ("x" denotes a cross product of vectors) i = 112 A L = B = F = (112 A) F = |F| = sqrt[(1.52 N)^2 + (0.81 N)^2] |F| = 1.72 N (magnitude of force, if you need to know this...) tan? = 1.52 / 0.81 ? = 62° (above the horizontal; northward)

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