### Magnetic Field of a Straight Wire**Problem Statement:**A long, straight wire carries a current \( I \). If the magnetic field is \( 1 \, \text{T} \) at a distance of \( r \), what is the magnetic field at a distance of \( 5r \) from the wire?**Express your answer in teslas.****Solution:**\[B = 0.2 \, \text{T}\]**Explanation:**The magnetic field around a long, straight wire is inversely proportional to the distance from the wire. Therefore, when the distance increases, the magnetic field decreases proportionally. Given that the magnetic field is \( 1 \, \text{T} \) at a distance \( r \), at a distance \( 5r \), the magnetic field would be \( \frac{1}{5} \) of the original magnetic field, resulting in \( 0.2 \, \text{T} \). **Problem Statement:**A long, straight wire lies on the \( y \) axis and carries a current \( I \) in the positive \( y \) direction. A second parallel wire carries the same current and is positioned such that it intersects the \( x \) axis at \( x = 3.0 \, \text{m} \). Where on the \( x \) axis is the magnetic field zero?**Instructions:**Express your answer with the appropriate units.**Response Box:**- **\( x = \)** [Value] [Units]**Explanation:**This problem involves finding the point along the \( x \) axis where the magnetic field generated by the two parallel wires cancels out, resulting in a net magnetic field of zero. The two wires, carrying equal currents in the same direction, create magnetic fields that interact. The location on the \( x \) axis where the fields cancel depends on the relative distances between the observation point and each wire.

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Answered: A long, straight wire carries a current…

A long, straight wire carries a current I. If the magnetic field is 1 T at a distance of r, what is the magnetic field at a distance of 5r from the wire? Express your answer in teslas.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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