please help as soon as possible, please also show work **Question:**An aluminum wire of length 1.5 m and mass of 0.070 kg is in a magnetic field of 0.40 T. What is the current in the wire such that the magnetic force balances the weight of the rod?**Options:**- 1.2 A- 1.14 A- 9.8 A- 2.5 A**Explanation:**This problem explores the concept of magnetic force on a current-carrying conductor in a magnetic field. The force can be calculated using the formula:\[ F = B \times I \times L \]where:- \( F \) is the magnetic force,- \( B \) is the magnetic field strength (0.40 T),- \( I \) is the current in the wire,- \( L \) is the length of the wire (1.5 m).The gravitational force acting on the wire, which is the weight, is given by:\[ F_{gravity} = m \times g \]where:- \( m \) is the mass of the wire (0.070 kg),- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)).To balance the weight of the rod with the magnetic force, we set \( F = F_{gravity} \).Calculating \( F_{gravity} \):\[ F_{gravity} = 0.070 \times 9.81 = 0.6867 \, \text{N} \]Set the magnetic force equal to gravitational force:\[ B \times I \times L = 0.6867 \]\[ 0.40 \times I \times 1.5 = 0.6867 \]Solve for \( I \):\[ I = \frac{0.6867}{0.40 \times 1.5} \]\[ I = \frac{0.6867}{0.6} \]\[ I \approx 1.14 \, \text{A} \]**Answer: 1.14 A**

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An aluminum wire of length 1.5 m and mass of 0.070 kg is in a magnetic field of 0.40 T. What is the current in the wire such that the magnetic force balances the weight of the rod? 1.2 A 1.14 A 9.8 A 2.5 A

An aluminum wire of length 1.5 m and mass of 0.070 kg is in a magnetic field of 0.40 T. What is the current in the wire such that the magnetic force balances the weight of the rod? 1.2 A 1.14 A 9.8 A 2.5 A

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter30: Magnetic Fields And Forces

Section: Chapter Questions

Problem 7PQ

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Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

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