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In a laboratory exercise, you place a compass d=2.50 cm from a wire as shown in the figure below. Using a variable power supply, you slowly increase the current through the wire starting with 1-0. Assume the magnitude of the Earths magnetic field is 5.0 × 10-5 T and that it points to the right in the figure. (a) If you can detect a deflection of only 3°, what is the minimum current you can detect? (b) Very large currents cause the compass needle to essentially align with the field due to the wire. Assuming you cant distinguish currents that lead to more than 86° of deflection, what is the largest current you can detect?
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