A magnetic field is used to suspend a wire of mass 5.0x10-2 kg and length 0.12 m. The wire is carrying a current of 10 A. What minimum magnetic-field magnitude is needed to balance the pull of gravity? Express your answer in teslas.

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Chapter1: Units, Trigonometry. And Vectors
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**Part A**

A magnetic field is used to suspend a wire of mass \(5.0 \times 10^{-2}\) kg and length 0.12 m. The wire is carrying a current of 10 A. What minimum magnetic field magnitude is needed to balance the pull of gravity?

*Express your answer in teslas.*

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This problem involves applying the concept of magnetic force. The force due to the magnetic field should equate the gravitational force acting on the wire in order to balance it. Use the formula for magnetic force on a current-carrying conductor, which is \( F = BIL \sin \theta \), where \( B \) is the magnetic field, \( I \) is the current, and \( L \) is the length of the wire. Also, consider the gravitational force \( F = mg \), where \( m \) is the mass and \( g \) is the acceleration due to gravity (9.8 m/s\(^2\)). Comparing these two forces will give you the necessary magnetic field strength \( B \).
Transcribed Image Text:**Part A** A magnetic field is used to suspend a wire of mass \(5.0 \times 10^{-2}\) kg and length 0.12 m. The wire is carrying a current of 10 A. What minimum magnetic field magnitude is needed to balance the pull of gravity? *Express your answer in teslas.* [Input box for the answer] This problem involves applying the concept of magnetic force. The force due to the magnetic field should equate the gravitational force acting on the wire in order to balance it. Use the formula for magnetic force on a current-carrying conductor, which is \( F = BIL \sin \theta \), where \( B \) is the magnetic field, \( I \) is the current, and \( L \) is the length of the wire. Also, consider the gravitational force \( F = mg \), where \( m \) is the mass and \( g \) is the acceleration due to gravity (9.8 m/s\(^2\)). Comparing these two forces will give you the necessary magnetic field strength \( B \).
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