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

Chapter 23: Q. 34 - Excercises And Problems (page 654)

An ammonia moleculeNH3 has a permanent electric dipole moment5.0×1030Cm. A proton is 2.0nm from the molecule in the plane that bisects the dipole. What is the electric force of the molecule on the proton?

Short Answer

Expert verified

The molecule proton on electric force isE=5.625×106N/C.

Step by step solution

01

Step: 1 Electric field:

The energy generated by a given positive ion put at a location in the field is related to the intensity of the electric field at that point.

The fundamental expression is as follows:

E=Fq

02

Step: 2 Electric dipole:

The electric dipole in field as

E=p4πε0r3

The dipole moment is p, the distance between the dipole and the charge is r, and the permittivity of empty space is ε0.

03

Step: 3 Substituting:

Putting values in above equation,we get

E=p4πε0r3

role="math" localid="1651406439589" E=9×109C2/Nm25.0×1030Cm2.0×109m3

E=5.625×106N/C.

04

Step: 4 Finding force:

The electric force of a molecular on a proton is computed using the induced electromagnetic and force relationship.

The equation as

E=Fq

F=EqF=5.625×106N/C1.6×1019CF=9×1013N

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

An electret is similar to a magnet, but rather than being permanently magnetized, it has a permanent electric dipole moment. Suppose a small electret with electric dipole moment 1.0×10-7Cm is 25cmfrom a small ball charged to +25nC, with the ball on the axis of the electric dipole. What is the magnitude of the electric force on the ball?

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 you’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 there’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=12πqQ4πε0mR3,RandQare the radius and charge of the ring.

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

Two10cmdiameter charged disks face each other, apart. The left disk is charged to -50nCand the right disk is charged to+50nC.

a. What is the electric fieldE, both magnitude and direction, at the midpoint between the two disks?

b. What is the forceFon a-1.0nCcharge placed at the midpoint?

A parallel-plate capacitor has 2.0cm×2.0cmelectrodes with surface charge densities ±1.0×106C/m2. A proton traveling parallel to the electrodes at 1.0×106m/s enters the center of the gap between them. By what distance has the proton been deflected sideways when it reaches the far edge of the capacitor? Assume the field is uniform inside the capacitor and zero outside the capacitor.

A plastic rod with linear charge density λis bent into the quarter circle shown in FIGURE. We want to find the electric field at the origin.

a. Write expressions for the x- and y-components of the electric field at the origin due to a small piece of charge at angle θ.

b. Write, but do not evaluate, definite integrals for the x- and y-components of the net electric field at the origin.

c. Evaluate the integrals and write Enetin component form

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