In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.560 cm thick is positioned along an east–west direction. Assume n = 8.46 × 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of  B.  If a current of 8.00 A in the conductor results in a Hall voltage of 4.30  10-12 V, what is the magnitude of the Earth's magnetic field at this location?

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In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.560 cm thick is positioned along an east–west direction. Assume n = 8.46 × 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of 

B.

 If a current of 8.00 A in the conductor results in a Hall voltage of 4.30  10-12 V, what is the magnitude of the Earth's magnetic field at this location?

**Experiment to Measure the Earth's Magnetic Field Using the Hall Effect**

In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar with a thickness of 0.560 cm is positioned along an east-west direction. Assume \( n = 8.46 \times 10^{28} \) electrons/m\(^3\), and the plane of the bar is rotated to be perpendicular to the direction of \(\vec{B}\).

If a current of 8.00 A in the conductor results in a Hall voltage of \( 4.30 \times 10^{-12} \) V, what is the magnitude of the Earth's magnetic field at this location?

**Solution:**

\[ \boxed{\hspace{1cm}} \ \text{µT} \]
Transcribed Image Text:**Experiment to Measure the Earth's Magnetic Field Using the Hall Effect** In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar with a thickness of 0.560 cm is positioned along an east-west direction. Assume \( n = 8.46 \times 10^{28} \) electrons/m\(^3\), and the plane of the bar is rotated to be perpendicular to the direction of \(\vec{B}\). If a current of 8.00 A in the conductor results in a Hall voltage of \( 4.30 \times 10^{-12} \) V, what is the magnitude of the Earth's magnetic field at this location? **Solution:** \[ \boxed{\hspace{1cm}} \ \text{µT} \]
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