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A power line carries a 500-A current towards magnetic north and is suspended 10 m above...

A power line carries a 500-A current towards magnetic north and is suspended 10 m above the ground. The horizontal component of earth’s magnetic field at the power line’s latitude is 24 T. If a magnetic compass is placed on the ground directly below the power line which direction will it point? In this question, I understand why how to use both of the equations but could you explain why the direction is 22.62 degrees west of north in detail?

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BHE Bx = 2470 MT in y dirn lol By - B] = 2TR nnnnnn 47 X10 TX Soo = 10-5W a 10x10°= lout 21 X10 TOMT temo - temo - BP BY = 10Bx is working in -x direction (west )and By is working working in the direction of current (accordingly magnetic field by bio-swart law) I.e in North direction so resultant vector would between north and west so angle would be west of South

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