Suppose we have a small circular coil of wire that has 400 turns of wire wound in the form of a loop 4 centimeters in diameter. When this coil is connected to a battery, the magnetic field it creates deflects a compass needle that is 20 centimeters away along the coil's axis by an angle of 35 degrees from north, as shown in the drawing. (The coil's plane is vertical, perpendicular to the plane of the drawing.) Assume that the horizontal part of the earth's magnetic field at our location has a magnitude of |Bearth| = 25 microtesla. What current flows in the coil? (Hint: the distant field of a loop is like that of a dipole.)

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Chapter1: Units, Trigonometry. And Vectors
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Suppose we have a small circular coil of wire that has 400 turns of wire wound in the form of a loop 4 centimeters in diameter. When this coil is connected to a battery, the magnetic field it creates deflects a compass needle that is 20 centimeters away along the coil's axis by an angle of 35 degrees from north, as shown in the drawing. (The coil's plane is vertical, perpendicular to the plane of the drawing.)

Assume that the horizontal part of the earth's magnetic field at our location has a magnitude of |Bearth| = 25 microtesla. What current flows in the coil? (Hint: the distant field of a loop is like that of a dipole.)

35°
Bearth
Compass
TOP VIEW
20 cm
Coil's central axis
Coil
4.0 cm
Transcribed Image Text:35° Bearth Compass TOP VIEW 20 cm Coil's central axis Coil 4.0 cm
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