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A long wire carrying I=0.8A of constant current oriented East-to-West (and the current is running eastwards)...

A long wire carrying I=0.8A of constant current oriented East-to-West (and the current is running eastwards) is placed distance d=1cm over the top of a compass needle. Assuming the Earth magnetic field to be BEarth= 23μT what is the absolute value of the angular deviation θ of the compass needle from the North-to-South direction?

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