**Educational Content:**In the figure, two long straight wires, shown in cross-section, carry currents \( i_1 = 28.1 \, \text{mA} \) and \( i_2 = 38.0 \, \text{mA} \) directly out of the screen. They are equidistant from the origin, where they establish a magnetic field \(\vec{B}\). To determine the value to which current \( i_1 \) must be adjusted to rotate \(\vec{B}\) clockwise by \( 17.2^\circ \).**Diagram Explanation:**- The diagram shows two points representing the cross sections of the wires on an x-y plane.- \( i_1 \) is positioned on the positive y-axis.- \( i_2 \) is positioned on the negative x-axis.**Calculation Result:**- The necessary change in \( i_1 \) is calculated as \( 51.965 \, \text{mA} \).This example illustrates the relationship between currents in parallel wires and the resulting magnetic field orientation.

Answered: Image /qna-images/answer/b57bfe88-b91f-4739-a3d7-0d10442256ea.jpg

In the figure, two long straight wires (shown in cross section) carry currents i₁ = 28.1 mA and i₂ = 38.0 mA directly out of the screen. They are equal distances from the origin, where they set up a magnetic field B . To what value must current i₁ be changed in order →>> to rotate B 17.2° clockwise?

In the figure, two long straight wires (shown in cross section) carry currents i₁ = 28.1 mA and i₂ = 38.0 mA directly out of the screen. They are equal distances from the origin, where they set up a magnetic field B . To what value must current i₁ be changed in order →>> to rotate B 17.2° clockwise?

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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Concept explainers

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.

Question

**Educational Content:**

In the figure, two long straight wires, shown in cross-section, carry currents \( i_1 = 28.1 \, \text{mA} \) and \( i_2 = 38.0 \, \text{mA} \) directly out of the screen. They are equidistant from the origin, where they establish a magnetic field \(\vec{B}\). To determine the value to which current \( i_1 \) must be adjusted to rotate \(\vec{B}\) clockwise by \( 17.2^\circ \).

**Diagram Explanation:**

- The diagram shows two points representing the cross sections of the wires on an x-y plane.
- \( i_1 \) is positioned on the positive y-axis.
- \( i_2 \) is positioned on the negative x-axis.

**Calculation Result:**

- The necessary change in \( i_1 \) is calculated as \( 51.965 \, \text{mA} \).

This example illustrates the relationship between currents in parallel wires and the resulting magnetic field orientation.

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