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A group of physics students plans to measure the horizontal component of Earth’s magnetic field. The students position a compass $5.0\text{ cm}$ directly south of a long vertical wire. The compass initially points north. As the students run increasing current upwards through the wire, the compass deflects more and more to the east, producing the following data:

Current (amps) Deflection (degrees)
0 0
6.8 30
11.5 45
19.4 60

With respect to the data above, which of the following measurements most closely approximates the horizontal component of Earth’s magnetic field?


$7.8\times { 10 }^{ -5 } \text{ T}$


$6.5\times { 10 }^{ -5 }\text{ T}$


$4.6\times { 10 }^{ -5 }\text{ T}$


$2.7\times { 10 }^{ -7 }\text{ T}$

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