Prepare for your exams
Get points
Guidelines and tips

Prepare for your exams

Study with the several resources on Docsity

Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips

Sell on Docsity

Log in Sign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents

20 Points

For each uploaded document

Answer questions

5 Points

For each given answer (max 1 per day)

All the ways to get free points

Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study

Go to the blog

All basic formulas of emft, Summaries of Electromagnetism and Electromagnetic Fields Theory

Aryabhatta Knowledge University Electromagnetism and Electromagnetic Fields Theory

All EMFT FORMULA are present in this pdf to help the students achieve good understanding of problem solving so that they can score good marks in their exams. All the best for your emft examination. Do revise these formulas these are basic formulas to solve any electromagnetic field theory question. This pdf contains all the basic formulas of vector, electrostatic, magnetism.

Typology: Summaries

2023/2024

Uploaded on 02/19/2024

abhishek-raj-25 🇮🇳

1 document

1 / 3

This page cannot be seen from the preview

Don't miss anything!

Cartesian Cylindrical

Spherical

x

=

r

cosc/

S

r

sin

6

cos

4

=

r

sin4

S

r

sin

6

sin4

z

=

z

=

rcos6

y

ix

=

Cos

Oi-sin

4k

4

=

sin Ocos

ki,+cos

6

cos

4ie

-sin

Ois

iY

=sin

0

i,+

Cos

01

i

=

sin

0

sin

6i,

+

Cos

6

sin

ie

=

S

il41+C541

+cos

6

io

i

1

=

cos

Oi,-

sin

Ois

Cylindrical

Cartesian

Spherical

=~V

Ix+

y7

Sr

sin

6

tan~1

y/x

=

z

=

rcos6

=

cos

(k

,,

+sin

i,

=

sin

Oi,+cos

6ie

i

4

.

=

-sin

ki,,+Cos

4i,

=

i

4

=

i,

=

cos

i,

-sin

iO

Spherical

Cartesian

Cylindrical

If,-

+z"

r

I4x

+y

+z

_1

z

-1

z

0

=

Cos

=

cos

=

cot-'

x/y

i,

=

sinG

cos

kix+sin

6

sin

ci,

=

sin

i,

+Cos

Oi,

+cos

i.

i,

=

cos

6

cos

oi,+cos

6

sin

oi,

=

Cos

Oi,-sin

Oi,

-sin

Oi.

i

=

-sin

46i, +Cos

0i,

=

i

4

,

Geometric

relations

between

coordinates

and

unit

vectors

for

Cartesian,

cylir

drical,

and

spherical

coordinate

systems.

Partial preview of the text

Download All basic formulas of emft and more Summaries Electromagnetism and Electromagnetic Fields Theory in PDF only on Docsity!

Cartesian Cylindrical Spherical

x = r cosc/ S^ r^ sin^6 cos^4

= r sin4 S^ r^ sin^6 sin

z =^ z^ =^ rcos

y

ix =^ Cos^ Oi-sin 4k^4 =^ sin Ocos^ ki,+cos^^6 cos^ 4ie

-sin Ois

iY =sin^^0 i,+^ Cos^^01 i^ =^ sin^^0 sin^ 6i,^ +^ Cos^^6 sin^ ie

= S il41+C541 +cos^^6 io

i^1 = cos Oi,- sin Ois

Cylindrical Cartesian^ Spherical

=~V Ix+ y7 Sr^ sin^6

tan~1 y/x

= z = rcos

= (^) cos (k (^) ,, +sin i, = sin (^) Oi,+cos 6ie i 4.

= -sin ki,,+Cos 4i, = i 4

= i, =^ cos^ i,^ -sin^ iO

Spherical Cartesian Cylindrical

r (^) I4x +y +z^ If,-^ +z"

_1 z (^) -1 z 0 = Cos =^ cos

= cot-' (^) x/y

i, = sinG cos kix+sin 6 sin ci, = sin i, +Cos Oi,

+cos i.

i, = cos 6 cos oi,+cos 6 sin oi, = Cos Oi,-sin Oi,

-sin Oi.

i (^) = -sin (^) 46i, +Cos 0i, = i 4 ,

Geometric relations between coordinates and unit vectors for Cartesian, cylir drical, (^) and spherical coordinate systems.

All basic formulas of emft, Summaries of Electromagnetism and Electromagnetic Fields Theory

Related documents

Partial preview of the text

Download All basic formulas of emft and more Summaries Electromagnetism and Electromagnetic Fields Theory in PDF only on Docsity!

x = r cosc/ S^ r^ sin^6 cos^4

= r sin4 S^ r^ sin^6 sin

z =^ z^ =^ rcos

ix =^ Cos^ Oi-sin 4k^4 =^ sin Ocos^ ki,+cos^^6 cos^ 4ie

iY =sin^^0 i,+^ Cos^^01 i^ =^ sin^^0 sin^ 6i,^ +^ Cos^^6 sin^ ie

= S il41+C541 +cos^^6 io

=~V Ix+ y7 Sr^ sin^6

= z = rcos

= -sin ki,,+Cos 4i, = i 4

= i, =^ cos^ i,^ -sin^ iO

i, = sinG cos kix+sin 6 sin ci, = sin i, +Cos Oi,

i, = cos 6 cos oi,+cos 6 sin oi, = Cos Oi,-sin Oi,

Vf = Ofi.+ Ofi,+ Ofi.

ax ay Oz

+-A=,++-i

V- aA,,^ aA,^ aA,^2

ax ay az

VxA =i. ay_ a (aA ,(- _)+i^ aA^ aA)

(LAI ay az )+ )^ az _ 8A\a.x)^ -(

ay

CylindricalCoordinates (r, 4, z)

Of. 1 Of. Of

Vf= r+ i,+ iz

+A MA.

r Or r ao az

VxA=i -^ +ixaz^ Or^ +^ OA^ r^ a

0/f a Of^1 a

2 f a^2 f

r Or On) r^^42 O

Spherical Coordinates (r, 0, 4,)

Vf=i,.+ afi+

Or r aO r sin 0 a

V A = (r2A,)+^1 (sin^ OA.)^^1 oA*

r2 ar r sin 0 aI r sin 0 a

aA.

'r sineL 80 a

I rIAM, a(rA) 1 [a(rA#) OA,.

r sin{ 0r] rL Or aeJ

V f =^ r^ +^ r^ s^ n^ s^ in0^ )^ +Of^ I^ a

rf ar' Or. r- -s i n aG ai r sin 04, 0