Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

An electron experiences a force of magnitude F when it is1cmfrom a very long, charged wire with linear charge densityλ. If the charge density is doubled, at what distance from the wire will a proton experience a force of the same magnitudeF?

Short Answer

Expert verified

The amount of distance from the wire when a proton experiences a force of the same magnitude F from the wire=2×10-2m.

Step by step solution

01

Given information

For an electron: r1=1cm=10-2m

Charge of electron=-q

Linear charge density in case of electronλ1=λ

Charge of proton=+q

Linear charge densityλ2=2λ

02

Explanation

F=-e2λ4πe010-2F=e2(2λ)4πe0r2-e2λ4πe010-2=e2(2λ)4πe0r2r2=-2×10-2mr2=2×10-2m

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Honeybees acquire a charge while flying due to friction with the air. A 100mgbee with a charge of +23pCexperiences an electric force in the earth’s electric field, which is typically 100N/C, directed downward.

a. What is the ratio of the electric force on the bee to the bee’s weight?

b. What electric field strength and direction would allow the bee to hang suspended in the air?

A 12-cmlong thin rod has the nonuniform charge density λ(x)=(2.0nC/cm)e-|x|/(6.0cm), where localid="1648623923714" xis measured from the center of the rod. What is the total charge on the rod?

Hint: This exercise requires an integration. Think about how to handle the absolute value sign.

An infinite plane of charge with surface charge density 3.2μC/m2has a 20-cm-diameter circular hole cut out of it. What is the electric field strength directly over the center of the hole at a distance of 12cm?

Hint: Can you create this charge distribution as a superposition of charge distributions for which you know the electric field?

The ozone molecule O3 has a permanent dipole moment of 11.8×10-30Cm. Although the molecule is very slightly bent— which is why it has a dipole moment—it can be modeled as a uniform rod of length 2.5×10-10m with the dipole moment perpendicular to the axis of the rod. Suppose an ozone molecule is in a 5000N/C uniform electric field. In equilibrium, the dipole moment is aligned with the electric field. But if the molecule is rotated by a small angle and released, it will oscillate back and forth in simple harmonic motion. What is the frequency f of oscillation?

A proton and an electron are released from rest in the center of a capacitor.

a. Is the force ratio Fp/Fe greater than 1 less than1, or equal to1? Explain.

b. Is the acceleration ratio ap/ae greater than 1, less than 1, or equal to1? Explain.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free