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

A parallel-plate capacitor is formed from two 6.0-cm-diameter electrodes spaced 2.0mmapart. The electric field strength inside the capacitor is 1.0ร—106N/C. What is the charge (in nC ) on each electrode?

Short Answer

Expert verified

One electrode has 25nCcharge and other one has -25nCcharge.

Step by step solution

01

Introduction

Electric field Einside circuit is: 1ร—106N/C. The plate of a circuit has a diameter of6cmand they are 20cmdistance apart.

Formula used

Due to the area capacitor, there is an electric field. Aand charge Q

E=QฯตoA...........(1)(1)

02

Explanation

Radius of disk is

r=6cm2

=3cm

Now sum charge from equation (1)

Q=EฯตoA

=1ร—106N/C8.85ร—10-12C2/Nยทm2ฯ€(0.03m)2

=25nC

03

Find the charge on one electrode

The charge on one electrode is 25nC, whereas the other is -25nC.

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

Three charges are placed at the corners of the triangle in FIGURE Q23.15. The ++charge has twice the quantity of charge of the two - charges; the net charge is zero. Is the triangle in equilibrium? If so, explain why. If not, draw the equilibrium orientation.

A small segment of wire in FIGURE Q23.4contains 10nCof charge.

a. The segment is shrunk to one-third of its original length. What is the ratio of ฮปf/ฮปi, where ฮปiandฮปf are the initial and final linear charge densities?

b. A proton is very far from the wire. What is the ratio Ff /Fi of the electric force on the proton after the segment is shrunk to the force before the segment was shrunk?

c. Suppose the original segment of wire is stretched to 10 times its original length. How much charge must be added to the wire to keep the linear charge density unchanged?

The two parallel plates in FIGURE P23.53are 2.0cmapart and the electric field strength between them is 1.0ร—104N/C. An electron is launched at a 45โˆ˜ angle from the positive plate. What is the maximum initial speed v0 the electron can have without hitting the negative plate?

You have a summer intern position with a company that designs and builds nanomachines. An engineer with the company is designing a microscopic oscillator to help keep time, and youโ€™ve been assigned to help him analyze the design. He wants to place a negative charge at the center of a very small, positively charged metal ring. His claim is that the negative charge will undergo simple harmonic motion at a frequency determined by the amount of charge on the ring.

a. Consider a negative charge near the center of a positively charged ring centered on the z-axis. Show that there is a restoring force on the charge if it moves along the z-axisbut stays close to the center of the ring. That is, show thereโ€™s a force that tries to keep the charge at z=0. b. Show that for small oscillations, with amplitude <<R, a particle of mass mwith charge-qundergoes simple harmonic motion with frequency f=12ฯ€qQ4ฯ€ฮต0mR3,RandQare the radius and charge of the ring.

c. Evaluate the oscillation frequency for an electron at the center of a 2.0ฮผmdiameter ring charged to 1.0ร—10-13C.

Rank in order, from largest to smallest, the electric field strengths E1 to E5 at the five points inFIGURE Q23.11. 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