View by Category

Loading...

PPT – Magnetostatic Field: Ampere Circuital Law PowerPoint presentation | free to view

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

CHAPTER 3

ELECTROMAGNETIC FIELDS THEORY

- Magnetostatic Field Ampere Circuital Law

In this chapter you will learn

- Biot-Savats Law
- Ampere Circuital Law
- Magnetic flux density vector
- Magnetic potential vector and magnetic force
- Magnetic circuit
- Faradays Law
- Maxwells Equation

Analogy between Electric Magnetic Fields

Amperes Circuit Law

- Similar to Gausss law
- Amperes law states that the line integral of the

tangential components of H around a closed path

is the same as the net current Ienc enclosed by

the path - Eq 1 is the integral form of Amperes Circuit Law
- Amperes Circuit Law is used when we want to

determine H when the current distribution is

symmetrical

Amperes Circuit Law

- If we apply Stokes theorem to eq 1, we obtain
- But since
- We compare (2) and (3) to obtain
- Third maxwells Equation Amperes law in point

form

Amperes Circuit Law

- Magnetostatic field is not conservative. That is

Applications of Amperes law

- Some symmetrical current distributions
- Infinite line current
- Infinite Sheet of current
- Infinitely long coaxial transmission line

Infinite Line Current

- Consider an infinitely long filamentary current l

along the z-axis

To determine H at an observation point P, we

allow a closed path pass through P known as an

Amperian path (analogous to Gaussian surface)

Infinite Line Current

- Since the amperian path encloses the whole

current I, according to Amperes law - Thus

Infinite Sheet of current

- Consider an infinite current sheet in the z 0

plane with a uniform current density K Kyay A/m

Infinite Sheet of current

- Applying Amperes Law, we get
- Regard the infinite sheet as comprising of

filaments. The resultant dH has only an

x-component - Also, H on one side of the sheet is the negative

of that on the other side.

------------(1)

------------(2)

Infinite Sheet of current

- Evaluating the Amperes law along the closed path

we obtain - Compare eq (1) with eq (3), we get
- Subtitute H0 in eq (2)

------------(3)

Infinite Sheet of current

- Thus now we can say
- In general, for an infinite sheet of current

density K A/m,

Infinitely long coaxial transmission line

- Consider an infinitely long transmission line

consisting of two concentric cylinders having

their axes along the z-axis

Infinitely long coaxial transmission line

- The inner conductor has radius a and carries

current I while the outer conductor has inner

radius b and thickness t and carries return

current -I. - Since the current distribution is symmetrical, we

apply Ampere's law for the Amperian path for each

of the four possible regions - 0 p a,
- a p b,
- b p b t,
- a n d p b t .

region 0 p a

- For region 0 p a, we apply Ampere,s law to

path L1 - Since the current is uniformly distributed over

the cross section,

region 0 p a

- Thus

or

Region a p b

- For region a p b, we use L2

or

Region b p b t

- For region b p b t, we use L3
- J in this case is the current density (current

per unit area) of the outer conductor and is

along az

Region b p b t

- Thus
- Then we can get H,

Region p b t

- For region p b t we use L4

Infinitely long coaxial transmission line

- Putting it all together,

Infinitely long coaxial transmission line

- Plot of HF against ?.

Example 2

- A toroid whose dimensions are shown below has N

turns and carries current I. determine H inside

and outside the toroid.

2a

?

?0

?0

Solution

- Apply Amperes circuit law to the Amperian path,

which is a circle of radius p. Since N wires cut

through this path each carrying current I, the

net current enclosed by the path is NI. Hence, - Where p0 is the mean radius of the toroid. Thus

the approximate value of H is

Solution

- Outside the toroid, the current enclosed by the

Amperean path is - NI - NI 0
- Hence H 0

Practice Exercise 7.6

- A toroid of circular cross section whose center

is at the origin and axis the same as the z-axis

has 1000 turns with p0 10 cm, a 1cm. if the

toroid carries a 100-mA current, find H at - (3cm, -4cm, 0)
- (6cm, 9cm, 0)

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Page of

CrystalGraphics Sales Tel: (800) 394-0700 x 1 or Send an email

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Magnetostatic Field: Ampere Circuital Law" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!

Committed to assisting Ump University and other schools with their online training by sharing educational presentations for free