Download the App!

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

$\bullet$ A toroidal solenoid (see Figure 20.42$)$ has inner radius $r_{1}=15.0 \mathrm{cm}$ and outer radius $r_{2}=18.0 \mathrm{cm} .$ The solenoid has 250 turns and carries a current of 8.50 A. What is the magnitude of the magnetic field at the following distances from the center of the torus: (a) $12.0 \mathrm{cm} ;$ (b) $16.0 \mathrm{cm} ;$ (c) 20.0 $\mathrm{cm} ?$

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

a) $B=0$b) $2.66 \times 10^{-3} \mathrm{T}$c) $B=0$

Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 20

Magnetic Field and Magnetic Force

Motion Along a Straight Line

Motion in 2d or 3d

Electric Charge and Electric Field

Gauss's Law

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Electromagnetic Induction

Inductance

Cornell University

Rutgers, The State University of New Jersey

University of Winnipeg

McMaster University

Lectures

18:38

In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb). The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum). The electric flux through a closed surface is zero, by Gauss's law.

04:28

A magnetic field is a mathematical description of the magnetic influence of electric currents and magnetic materials. The magnetic field at any given point is specified by both a direction and a magnitude (or strength); as such it is a vector field. The term is used for two distinct but closely related fields denoted by the symbols B and H. The term "magnetic field" is often used to refer to the B field. In a vacuum, B and H are the same, whereas in a material medium, B is a component of H. In the latter case, H is the "magnetic field strength", and B is the "magnetic flux".

02:01

A toroidal solenoid (see E…

02:19

02:46

An ideal toroidal solenoid…

04:39

02:25

A toroidal solenoid has in…

02:24

ConstantsPart AA t…

04:12

A toroid having a square c…

02:13

01:26

01:06

A 200-turn solenoid having…

02:43

A solenoid having 165 turn…

02:30

The current in the winding…

So here we have a tour. Oy, It'll so annoyed. So this is simply a solenoid that ah, um wraps around and creates a circle Essentially. So ah would be like a circular called circular coil. Um, the magnetic field for this would be, ah, be equaling mu not, And times I divided by two pi r Ah, And here we know that the tourists extends from arse of one equaling 15 centimeters, uh, to ourselves to equalling 18 centimeters. So at this point, when they're asking for the magnetic field at our equaling 0.0.12 Sorry, 12.0 centimeters. This is outside the tourists. So if it's outside the tourists, the magnetic field equals zero Tesla's. So that would be the answer for party. And then for part B, they're asking, Ah, radius equals 16 centimeters. So this would be being equaling four pi times 10 to the negative. Seventh times, 250 coils times I saw I'd be 8.5 and piers and then this would be divided by, uh, two pi times 16 centimeters. However, we need to convert two meters, so 20.16 meters and we find that this is going to be equal to 2.66 times 10 to the negative third? Yes, those. So this would be your answer for part, uh, B again, your answer for party. And then, for part, See, they're asking for our equaling 20.0 centimeter again. This is outside the tourists. So if it's outside the tourists again, the magnetic field equals zero Tesla's. So this will be your answer for part. See, that is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

03:22

The population ratio of the two states in he-ne laser that produces light of…

06:17

9. A cube of wood of volume 0.2 m and density 600 kg mis placed in a liquid …

05:41

A real image of half size of the object is produced by a spherical mirror.on…

02:11

A 2kg shot is fired from a cannon of mass 198 kg with a velocity 50 ms - 1 w…

02:08

A particle is projected up into the air from a point with a speed of 20 m/s …

01:27

02:55

At 7:00 a.m. the odometer of a car reads 25777.What is the distance cove…

01:49

An 8 pole lap connected armature has 40 slots with 12 conductor per slot gen…

02:07

On a cold night in Shimla Mohini noticed a stray dog shivering near her hous…

02:02

An athlete runs 600 m in 2 minutes and the next 1000 m in 1 minute on the sa…