**Educational Exercise: Magnetic Field Calculation Using Biot-Savart Law**An electron is traveling along the z-axis with a velocity of \( v_z = 2.5 \times 10^7 \, \text{m/s} \). As it passes through the origin, we need to determine the strength and direction of the magnetic field at specific \((x, y, z)\) coordinates. For this exercise, assume the Biot-Savart law is fully correct in describing the magnetic field created by a point charge.**Part A**Calculate the magnetic field at the position \((2.0 \, \text{cm}, 0 \, \text{cm}, 0 \, \text{cm})\).- Express your answers in teslas, separated by commas.- Use the input field to enter \( B_x, B_y, B_z \).**Part B**Calculate the magnetic field at the position \((0 \, \text{cm}, 0 \, \text{cm}, 2.0 \, \text{cm})\).- Express your answers in teslas, separated by commas.- Use the input field to enter \( B_x, B_y, B_z \).**Part C**Calculate the magnetic field at the position \((0 \, \text{cm}, 2.0 \, \text{cm}, 2.0 \, \text{cm})\).- Express your answers in teslas, separated by commas.- Use the input field to enter \( B_x, B_y, B_z \).Each part includes a "View Available Hint(s)" option for guidance. Enter your calculations in the provided field and submit your results to verify your answers.

To find the magnetic field at a given point due to a moving charge, we can use the Biot-Savart law. For a point charge moving with velocity , the magnetic field at a point is given by:Where: is the charge of the particle. is the velocity of the charge. is the position vector pointing from the charge to the point where you want to find the magnetic field. is the permeability of free space, ()The charge of an electron is .Part A:Given:We'll use the Biot-Savart law:Substituting the given values:Part B:Given:Substituting the given values:Part C:Given:Substituting the given values:Part A:Part B:Part C:

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Physics

An electron moves along the z-axis with v₂ = 2.5 x 107 m/s. As it passes the origin, what are the strength and direction of the magnetic field at the following (x, y, z) positions? Assume the Biot Savart law for the magnetic field created by a point charge is 100% correct, although it often isn't complete. Part A (2.0 cm, 0 cm, 0 cm) Express your answers in teslas separated by commas. ▸ View Available Hint(s) Bz. By, B₂ = Submit Part B (0 cm, 0 cm, 2.0 cm) Express your answers in teslas separated by commas. ► View Available Hint(s) Bz, By, B₂ = Submit 97 ΑΣΦ Part C 1971 ΑΣΦ (0 cm, 2.0 cm, 2.0 cm) Express your answers in teslas separated by commas. 1 ? ? T T

An electron moves along the z-axis with v₂ = 2.5 x 107 m/s. As it passes the origin, what are the strength and direction of the magnetic field at the following (x, y, z) positions? Assume the Biot Savart law for the magnetic field created by a point charge is 100% correct, although it often isn't complete. Part A (2.0 cm, 0 cm, 0 cm) Express your answers in teslas separated by commas. ▸ View Available Hint(s) Bz. By, B₂ = Submit Part B (0 cm, 0 cm, 2.0 cm) Express your answers in teslas separated by commas. ► View Available Hint(s) Bz, By, B₂ = Submit 97 ΑΣΦ Part C 1971 ΑΣΦ (0 cm, 2.0 cm, 2.0 cm) Express your answers in teslas separated by commas. 1 ? ? T T

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.

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**Educational Exercise: Magnetic Field Calculation Using Biot-Savart Law**

An electron is traveling along the z-axis with a velocity of \( v_z = 2.5 \times 10^7 \, \text{m/s} \). As it passes through the origin, we need to determine the strength and direction of the magnetic field at specific \((x, y, z)\) coordinates. For this exercise, assume the Biot-Savart law is fully correct in describing the magnetic field created by a point charge.

**Part A**

Calculate the magnetic field at the position \((2.0 \, \text{cm}, 0 \, \text{cm}, 0 \, \text{cm})\).

- Express your answers in teslas, separated by commas.
- Use the input field to enter \( B_x, B_y, B_z \).

**Part B**

Calculate the magnetic field at the position \((0 \, \text{cm}, 0 \, \text{cm}, 2.0 \, \text{cm})\).

- Express your answers in teslas, separated by commas.
- Use the input field to enter \( B_x, B_y, B_z \).

**Part C**

Calculate the magnetic field at the position \((0 \, \text{cm}, 2.0 \, \text{cm}, 2.0 \, \text{cm})\).

- Express your answers in teslas, separated by commas.
- Use the input field to enter \( B_x, B_y, B_z \).

Each part includes a "View Available Hint(s)" option for guidance. Enter your calculations in the provided field and submit your results to verify your answers.

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