Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

A very long, straight solenoid with a cross-sectional area of 6.00 $\mathrm{cm}^{2}$ is wound with 40 turns of wire per centimeter, and the windings carry a current of 0.250 A. A secondary winding of 2 turns encircles the solenoid at its center. When the primary circuit is opened, the magnetic field of the solenoid becomes zero in 0.0500 s. What is the average induced emf in the secondary coil?

Hence, can says that yes according to Lenz's law the induced current in a metal loop alwaysflows to oppose the magnetic flux through that loop.

Physics 102 Electricity and Magnetism

Chapter 21

Electromagnetic Induction

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Inductance

Alternating Current

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

Lectures

03:27

Electromagnetic induction …

08:42

In physics, a magnetic fie…

03:23

A long, straight solenoid …

03:06

05:56

A very long, straight sole…

04:09

A long solenoid with $n=10…

02:27

A solenoid with 475 turns …

04:16

A toroldal solenoid has me…

02:56

A toroidal solenoid with m…

04:34

A toroidal solenoid has 29…

02:30

The current in the winding…

04:37

A square, single-turn wire…

07:04

05:24

An air-filled toroidal sol…

03:17

A toroidal solenoid has 50…

02:52

Two toroidal solenoids are…

02:26

06:05

A solenoidal coil with 25 …

05:38

A solenoid wound with 2000…

02:20

So we want the average induced EMF in the second coil s. So we know that the IMF is going to be equal to the absolute value of the change in magnetic flux. With respect to time, we know that thie magnetic flux. It's simply going to be equal to the ah magnitude of the magnetic field times a cross sectional area times co sign If I ah, we also know that the magnetic field is equaling. Ah mu not. This would be the magnetic creamy ability in the vacuum times and times the current I and this would be equal to be initial. And we know that the final simply equals zero. Considering at the Final Five equals 90 degrees. And we know that coastline of 90 degrees equal zero. So we know that the final magnetic field equal zero. So we can say that the IMF simply equals that two times mu not times end times the current eight times the cross sectional area divided by a Delta team. So this is going to be equal to two times for pie times 10 to the negative Seventh time's a T brother. If we keep units, notably Tesla's need er's per amp and then we have 400 turns per meter. Will this do second line times 0.250 amperes and then times 6.0 times 10 to a negative fourth meters squared. And then this is all divided by point. The time of 0.0.50 seconds. And we get the averaged induced in meth and the second coil to be equal 3.2 times 10 to the negative fifth volts. So this would be our final answer. That is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

Numerade Educator

Electromagnetic induction is the production of an electromotive force (emf) …

In physics, a magnetic field is a vector field that describes the magnetic i…

A long, straight solenoid with a cross-sectional area of 8.00 cm$^2$ is woun…

A long, straight solenoid with a cross-sectional area of 8.00 $\mathrm{cm}^{…

A very long, straight solenoid with a crosssectional area of 2.00 cm$^2$ is …

A long solenoid with $n=10$ turns per centimeter has a cross-sectional area …

A solenoid with 475 turns has a length of 6.00 $\mathrm{cm}$ and a cross-sec…

A toroldal solenoid has mean radius 12.0 $\mathrm{cm}$ and cross-sectional a…

A toroidal solenoid with mean radius $r$ and cross-sectional area $A$ is wou…

A toroidal solenoid has 2900 closely wound turns, cross-sectional area 0.450…

The current in the windings of a toroidal solenoid is 2.400 A. There are 500…

A square, single-turn wire loop $\ell=1.00 \mathrm{cm}$ on a side is placed …

A toroidal solenoid has 2900 closely wound turns, cross-sectional area $0.45…

An air-filled toroidal solenoid has 300 turns of wire, a mean radius of $12.…

A toroidal solenoid has 500 turns, cross-sectional area $6.25 \mathrm{cm}^{2…

A toroidal solenoid has 500 turns, cross-sectional area 6.25 cm$^2$, and mea…

Two toroidal solenoids are wound around the same form so that the magnetic f…

A solenoidal coil with 25 turns of wire is wound tightly around another coil…

A solenoid wound with 2000 turns/m is supplied with current that varies in t…

01:52

Weighing astronauts. In order to study the long-term effects of weightlessne…

04:22

$\bullet$ An alien spacecraft is flying overhead at a great distance asy…

02:39

$\bullet$ A 3.25 g bullet picks up an electric charge of 1.65$\mu C$ as it t…

03:42

$\bullet$ Determining diet. One method for determining the amount of corn in…

03:50

$\bullet$ A mass of 0.20 $\mathrm{kg}$ on the end of a spring oscillates wit…

05:57

(a) If a spherical raindrop of radius 0.650 $\mathrm{mm}$ carries a charge o…

04:55

$\bullet$ A 150 $\mathrm{V}$ battery is connected across two parallel metal …

12:20

$\bullet$ In a rectangular coordinate system, a positive point charge$q=…

04:38

(III) Air resistance acting on a falling body can be taken into account by t…

01:17

(I) Draw the free-body diagram for a basketball player (a) just before leavi…