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 long, straight conductor passes through the center of a metal ring, perpendicular to its plane. If the current in the conductor increases, is a current induced in the ring? Explain.

Short Answer

Expert verified

No, the current is not induced in the ring.

Step by step solution

01

The definition of magnetic flux

It can be defined as the number of magnetic field lines passing through the given closed surface.

Mathematically it can be given by

ϕ=BAcosθ

Where, ϕis the magnetic flux, B is applied magnetic field and A is surface area of closed object and θis the angle between magnetic field lines and area vector of surface.

Faraday Law of EMF

Faraday Law of EMF states that the induced emf in a loop equals to the negative of the time rate of change of magnetic flux through the loop.

Mathematically it can be given by

e=dt=BdAdt

Where, e is the induced EMF.

02

Explanation

The magnetic field lines produced by long straight conductors are concentric circles and parallel to the plane of the ring. Therefore the magnetic field and area element are perpendicular to each other.

Hence, the magnitude of magnetic flux passing through the ring is zero.

Thus there is no current is induced in the ring.

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

Section 27.2 describes a procedure for finding the direction of the magnetic force using your right hand. If you use the same procedure, but with your left hand, will you get the correct direction for the force? Explain.

Lightning Strikes. During lightning strikes from a cloud to the

ground, currents as high as 25,000 A can occur and last for about 40 ms.

How much charge is transferred from the cloud to the earth during such a

strike?

In Europe the standard voltage in homes is 220 V instead of the 120 used in the United States. Therefore a “100-W” European bulb would be intended for use with a 220-V potential difference (see Problem 25.36). (a) If you bring a “100-W” European bulb home to the United States, what should be its U.S. power rating? (b) How much current will the 100-W European bulb draw in normal use in the United States?

A particle with charge-5.60nCis moving in a uniform magnetic fieldrole="math" localid="1655717557369" B=-(1.25T)k^

The magnetic force on the particle is measured to berole="math" localid="1655717706597" F=-(3.40×10-7N)i^-(7.40×10-7N)j^ (a) Calculate all the components of the velocity of the particle that you can from this information. (b) Are there
components of the velocity that are not determined by the measurement of the force? Explain. (c) Calculate the scalar productv֏F. What is the angle between velocity and force?

A 1.50- μF capacitor is charging through a 12.0-Ω resistor using a 10.0-V battery. What will be the current when the capacitor has acquired14of its maximum charge? Will it be14of the maximum current?

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