**Problem Statement:**If the magnetic field of the wire is \(2.0 \times 10^{-4}\) T and the electron moves at \(9.0 \times 10^{6}\) m/s, what is the magnitude \( F \) of the force exerted on the electron?Express your answer in newtons to two significant figures.---In this problem, you are asked to determine the force on an electron moving in a magnetic field. The relevant equation is the Lorentz force law, which is given by:\[ F = qvB \sin(\theta) \]where:- \( F \) is the force,- \( q \) is the charge of the electron (\(-1.6 \times 10^{-19}\) C),- \( v \) is the velocity of the electron,- \( B \) is the magnetic field strength,- \( \theta \) is the angle between the velocity and the magnetic field.For this exercise, assume that the angle \(\theta\) is 90 degrees, meaning the velocity is perpendicular to the magnetic field, thus \(\sin(\theta) = 1\). Therefore, the force can be simplified to:\[ F = qvB \]

The magnitude of the force on the electron in a uniform magnetic field is given by F=qvBsinθFor…

Answered: If the magnetic field of the wire is…

If the magnetic field of the wire is 2.0x10-4 T and the electron moves at 9.0x106 m/s, what is the magnitude F of the force exerted on the electron?

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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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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**Problem Statement:**

If the magnetic field of the wire is \(2.0 \times 10^{-4}\) T and the electron moves at \(9.0 \times 10^{6}\) m/s, what is the magnitude \( F \) of the force exerted on the electron?

Express your answer in newtons to two significant figures.

---

In this problem, you are asked to determine the force on an electron moving in a magnetic field. The relevant equation is the Lorentz force law, which is given by:

\[ F = qvB \sin(\theta) \]

where:
- \( F \) is the force,
- \( q \) is the charge of the electron (\(-1.6 \times 10^{-19}\) C),
- \( v \) is the velocity of the electron,
- \( B \) is the magnetic field strength,
- \( \theta \) is the angle between the velocity and the magnetic field.

For this exercise, assume that the angle \(\theta\) is 90 degrees, meaning the velocity is perpendicular to the magnetic field, thus \(\sin(\theta) = 1\). Therefore, the force can be simplified to:

\[ F = qvB \]

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