Q. A straight, horizontal stretch of copper wire has a current i= 28 A through it. What are the magnitude and direction of the minimum magnetic field needed to suspend the wire, i. e. to balance its weight? Its linear density is 46.6 g/m. Ans. 1.6 x 10-2 T FB mg
Q. A straight, horizontal stretch of copper wire has a current i= 28 A through it. What are the magnitude and direction of the minimum magnetic field needed to suspend the wire, i. e. to balance its weight? Its linear density is 46.6 g/m. Ans. 1.6 x 10-2 T FB mg
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Examples**
**Q.** A straight, horizontal stretch of copper wire has a current \(i = 28 \, \text{A}\) through it. What are the magnitude and direction of the minimum magnetic field needed to suspend the wire, i.e., to balance its weight? Its linear density is \(46.6 \, \text{g/m}\).
**Ans.** \(1.6 \times 10^{-2} \, \text{T}\)
**Diagram Explanation:**
- The diagram shows a wire with three forces acting on it:
- \(F_B\) (magnetic force) is directed upwards.
- \(mg\) (gravitational force or weight of the wire) is directed downwards.
- \(B\) (magnetic field) is directed horizontally to the right.
The perpendicular arrangement of the magnetic field and the current in the wire results in the magnetic force (\(F_B\)) that acts upwards to balance the gravitational force, allowing the wire to be suspended.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b12921e-4f95-442d-998d-c25c97115157%2Fca15bd0b-8bf3-4393-89fb-10fea7c6a340%2Ftg0ahwp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Examples**
**Q.** A straight, horizontal stretch of copper wire has a current \(i = 28 \, \text{A}\) through it. What are the magnitude and direction of the minimum magnetic field needed to suspend the wire, i.e., to balance its weight? Its linear density is \(46.6 \, \text{g/m}\).
**Ans.** \(1.6 \times 10^{-2} \, \text{T}\)
**Diagram Explanation:**
- The diagram shows a wire with three forces acting on it:
- \(F_B\) (magnetic force) is directed upwards.
- \(mg\) (gravitational force or weight of the wire) is directed downwards.
- \(B\) (magnetic field) is directed horizontally to the right.
The perpendicular arrangement of the magnetic field and the current in the wire results in the magnetic force (\(F_B\)) that acts upwards to balance the gravitational force, allowing the wire to be suspended.
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