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Title: Electromagnetic Formula Sheet
Description: Electromagnetic Formula Sheet include all the useful formula needed to solve problems related to electric magnetism. if you want format or custom changes in document or want to order any document or want to design your professional CV/Resume to get job fast please email me at harishassan1995@gmail.com
Description: Electromagnetic Formula Sheet include all the useful formula needed to solve problems related to electric magnetism. if you want format or custom changes in document or want to order any document or want to design your professional CV/Resume to get job fast please email me at harishassan1995@gmail.com
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Electromagnetic Formula Sheet
Vector-Analysis:
Elements
dl
dS
dV
Rectangular
d๐ฅ๐ ๐ฅ + d๐ฆ๐ ๐ฆ + d๐ง๐ ๐ง
d๐ฆd๐ง๐ ๐ฅ + d๐งd๐ฅ๐ ๐ฆ + d๐ฅd๐ฆ๐ ๐ง
d๐ฅd๐ฆd๐ง
Cylindrical
d๐๐ ๐ + ๐dโ ๐โ + d๐ง๐ ๐ง
๐๐โ ๐๐ง๐๐ + ๐๐๐๐ง๐โ + rd๐๐โ ๐๐ง
rd๐๐โ ๐๐ง
Haris H
...
๐ด =
๐๐
๐๐
๐๐
๐ +
๐ +
๐
๐๐ ๐ ๐๐โ โ
๐๐ง ๐ง
โ
...
๐๐ = 0 , ๐ธ = 4๐๐ ๐ 2 ๐ ๐ , ๐ = ๐๐ ,
4๐๐ ๐ ๐ 2 ๐ 12
๐
๐
๐
1
๐
1
๐๐
1
๐๐
1
๐
๐
๐
โซ ๐ ๐ 2 ๐๐ฃ ๐ ๐ , ๐ธ = 4๐๐ โซ ๐ ๐ 3 ๐๐ฃ , ๐ธ = 4๐๐ โซ๐ ๐ 2 ๐๐ ๐ ๐ , ๐ธ = 4๐๐ โซ๐ฟ ๐ 2๐ ๐๐ ๐ ๐ , ๐ธ = 2๐๐๐ ๐ ๐ ๐ , ๐ธ = 2๐๐ ๐ ๐ , ๐ธ = โโ๐,
4๐๐ ๐
๐
๐
๐
๐
๐
๐ต
๐
๐
๐๐๐๐๐ ๐
๐๐
, ๐ = ๐ = โ โซ ๐ด ๐ธ
...
๐๐ = โซ ๐ ๐ฃ ๐๐ฃ, โ โ ๐ท = ๐ ๐ฃ , ๐ ๐๐๐๐๐๐ = 4๐๐๐ 2 , ๐ = ๐ถ๐ , ๐ถ = ๐ , ๐ถ =
4๐๐ ๐ ๐
2๐๐๐ฟ
๐
2
2
2
๐ (๐๐๐ ๐๐ฆ๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐๐ก๐๐), โ ๐ = โ ๐ (๐๐๐๐ ๐ ๐๐โฒ๐ ๐๐๐ข๐๐ก๐๐๐)(โ ๐๐ ๐๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐ก๐๐), โ ๐ =
๐๐( )
๐น=
๐ธ=
๐=
๐
0(๐ฟ๐๐๐๐๐๐ ๐๐๐ข๐๐ก๐๐๐)(๐๐ ๐โ๐๐๐๐ ๐๐ ๐๐๐๐ ๐๐๐ก ๐ = 0)
Magnetostatics:
๐ผ=
ฮ๐
ฮt
,๐ผ = โซ ๐ฝ โ ๐๐ , ๐ฝ = ๐๐ธ(๐ด/๐2 )(๐๐ป๐โฒ ๐ ๐๐๐ค ๐๐ ๐ค๐๐ฃ๐๐๐๐๐), โ
...
๐ฝ =
๐ฝ โ ๐๐ = 0,๐น ๐ = ๐(๐ ร ๐),
F = ๐น ๐ + ๐น ๐ธ = ๐(๐ + ๐ ร ๐)(๐๐๐๐๐๐ก๐ง โฒ ๐ ๐๐๐๐๐ ๐๐๐ข๐๐ก๐๐๐), โ
...
๐๐ = 0(law of conservation of
magnetic flux), โฎ๐ถ ๐ต โ ๐๐ = ๐ ๐ ๐ผ, ๐ต = โ ร ๐ด, โ โ ๐ด = 0, โ2 ๐ด = โ๐ ๐ ๐ฝ,๐ด =
๐๐๐ผ
๐๐ โฒ ร๐น
โฎ ( ๐ 3 ), ๐ต = ๐๐ป, ๐ = ฯ ๐ ๐ป, 1 + ฯ ๐
4๐ ๐ถ
๐๐๐ผ
๐ตโ = 2๐๐ ๐โ (๐๐๐๐ ๐๐ ๐๐ข๐๐๐๐๐ก) , ๐โ = ๐ ๐ ร ๐ ๐ ,
๐ต=
๐๐๐ผ
๐๐ โฒ
โฎ๐ถ ๐
4๐
โฒ
,๐ต =
๐๐๐ผ
โฎ โ
4๐ ๐ถ
ร(
๐๐ โฒ
),
๐
๐ต=
๐๐๐ผ
๐๐ โฒ ร๐
โฎ๐ถ ( ๐ 2 ๐ ) ,
4๐
= ๐ ๐ , โฎ๐ถ ๐ป โ ๐๐ = ๐ผ (๐ด๐๐๐๐๐ ๐ ๐๐๐๐๐ข๐๐ก๐๐ ๐๐๐ค), ฮฆ = โฎ๐ถ ๐ด โ ๐๐ = โฎ๐ ๐ต โ ๐๐ ,
ฮฆ12 = ๐ฟ12 ๐ผ1 , ฮ12 = ๐2 ฮฆ12 = ๐ฟ12 ๐ผ1 ,๐น ๐ = ๐ผ โซ ๐๐ ร ๐ต
Time Varying Fields and Maxwellโs Equations:
๐ ๐๐๐ = โ
๐ฮฆ
๐๐ก
, ๐ ๐๐๐ = โฎ ๐ธ โ ๐๐ = โ โซ
๐๐ต
๐๐ก
โ ๐๐ , ๐ ๐๐๐ = โ โฎ(๐ข ร ๐ต) โ ๐๐ ,
๐๐๐ฑ๐ฐ๐๐ฅ๐ฅ ๐๐ช๐ฎ๐๐ญ๐ข๐จ๐ง๐ฌ
Differential form
๐๐ต
โร ๐ธ =โ
๐๐ก
๐๐ท
โร ๐ป = ๐ฝ+
๐๐ก
Integral form
๐ฮฆ
โฎ ๐ธ โ ๐๐ = โ
๐๐ก
๐๐ท
โฎ ๐ป โ ๐๐ = ๐ผ + โฎ
โ ๐๐
๐ ๐๐ก
Significance
Faradayโs Law
Ampereโs circuital Law
โ โ ๐ท = ๐๐ฃ
โฎ ๐ท โ ๐๐ = ๐
Gaussโs Law
โ
...
๐๐ =
๐๐
๐
Magnetostatics
๐น ๐ = ๐(๐ ร ๐)
โฎ ๐ธ
...
๐ต = 0
โร ๐ต = ๐๐๐ฝ
โฎ ๐ต
...
com
Title: Electromagnetic Formula Sheet
Description: Electromagnetic Formula Sheet include all the useful formula needed to solve problems related to electric magnetism. if you want format or custom changes in document or want to order any document or want to design your professional CV/Resume to get job fast please email me at harishassan1995@gmail.com
Description: Electromagnetic Formula Sheet include all the useful formula needed to solve problems related to electric magnetism. if you want format or custom changes in document or want to order any document or want to design your professional CV/Resume to get job fast please email me at harishassan1995@gmail.com