A proton of charge +e and mass m enters a uniform magnetic field B = Bi with an initial velocity = ui + wj. In your answers, use only variables , e, m, B, u, and w, as necessary. %3D a) What is the magnitude of the centripetal acceleration of the proton at the moment of entering the field? b) What is the radius of the circular motion of the proton? c) What is the period of the circular motion of the proton? d) What it the pitch (distance between the loops) of the helical motion of the proton?

A proton of charge +e and mass m enters a uniform magnetic field B = Bi with an initial velocity = ui + wj. In your answers, use only variables , e, m, B, u, and w, as necessary. %3D a) What is the magnitude of the centripetal acceleration of the proton at the moment of entering the field? b) What is the radius of the circular motion of the proton? c) What is the period of the circular motion of the proton? d) What it the pitch (distance between the loops) of the helical motion of the proton?

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

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**Problem: Motion of a Proton in a Uniform Magnetic Field**

A proton of charge \( +e \) and mass \( m \) enters a uniform magnetic field \( \vec{B} = B\hat{i} \) with an initial velocity \( \vec{v} = u\hat{i} + w\hat{j} \).

*In your answers, use only variables \( \pi, e, m, B, u, \) and \( w \) as necessary.*

**Questions:**

a) What is the magnitude of the centripetal acceleration of the proton at the moment of entering the field?

*Answer:* ___________________________

b) What is the radius of the circular motion of the proton?

*Answer:* ___________________________

c) What is the period of the circular motion of the proton?

*Answer:* ___________________________

d) What is the pitch (distance between the loops) of the helical motion of the proton?

*Answer:* ___________________________

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This section describes how a proton behaves under the influence of a uniform magnetic field, asking the student to calculate various physical properties of the proton's motion using given variables.

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