### Compute the magnitude of the external magnetic field

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A horizontal wire of length 0.43 m, carrying a current of 6.9 A, is placed in a uniform external magnetic field. When the wire is horizontal, it experiences no magnetic force. When the wire is tilted upward at an angle of 22°, it experiences a magnetic force of 5.8 × 10-3 N. Determine the magnitude of the external magnetic field.

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