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# Electromagnetics

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Study of electromagnetics is for electric and magnetic fields. To understand those fields, we need to know the concept of vector and differential operators.

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### Electromagnetics

1. 1. Antenna Engineering CHO, Yong Heui Electromagnetics
2. 2. 1. Maxwell’s equations Basic equations ( 기본방정식 )  <ul><li>: Gauss( 가우스 )’s law </li></ul><ul><li>: Faraday( 패러데이 )’s law </li></ul><ul><li>: Biot-Savart( 비오 - 사바르 )’s law </li></ul><ul><li>: Ampere( 앙뻬르 )’s law </li></ul>
3. 3. 1. Maxwell’s equations Explanations
4. 4. 2. Explanations Vector ( 벡터 )  <ul><li>Vector: magnitude + direction </li></ul><ul><ul><li>Coordinate ( 좌표계 ): </li></ul></ul><ul><li>Scalar: magnitude </li></ul><ul><ul><li>Real number ( 실수 ) </li></ul></ul>Temperature Velocity
5. 5. Electric field ( 전기장 ) 2. Explanations  <ul><li>: electric field [V/m] </li></ul><ul><ul><li>Force: </li></ul></ul><ul><li>: electric flux ( 전속 ) density [C/m 2 ] </li></ul><ul><li>: electric potential [V] </li></ul><ul><ul><li>(static) , gradient ( 경사 ) </li></ul></ul><ul><ul><li>Energy: </li></ul></ul><ul><li>: permittivity ( 유전율 ) [F/m] </li></ul>Electricity
6. 6. Magnetic field ( 자기장 )  <ul><li>: magnetic field intensity [A/m] </li></ul><ul><li>: magnetic flux ( 자속 ) density [Wb/m 2 ] </li></ul><ul><ul><li>Force: </li></ul></ul><ul><li>: vector potential [Wb/m] </li></ul><ul><ul><li>, curl ( 회전 ) </li></ul></ul><ul><ul><li>Energy </li></ul></ul><ul><li>: permeability ( 투자율 ) [H/m] </li></ul>Magnet 2. Explanations
7. 7. Product ( 곱 )  <ul><li>Dot product, inner product </li></ul><ul><li>Cross product, outer product </li></ul>Right screw Projection 2. Explanations
8. 8. Gradient ( 경사 , 구배 )  <ul><li>Nabla (del), </li></ul><ul><li>(static field) </li></ul><ul><li>Peak detector </li></ul>Map 2. Explanations
9. 9. Divergence ( 발산 )  <ul><li>Source detector, hole detector </li></ul>2. Explanations Tap
10. 10. Divergence ( 발산 ) Electric field Magnetic field 2. Explanations
11. 11. Principle of divergence 2. Explanations
12. 12. Curl ( 회전 )  <ul><li>Rotation detector </li></ul>2. Explanations
13. 13. Principle of curl 2. Explanations
14. 14. Boundary conditions ( 경계조건 )  <ul><li>: continuity of normal D </li></ul><ul><li>: continuity of tangential E </li></ul><ul><li>: continuity of normal B </li></ul><ul><li>: continuity of tangential H </li></ul>Sourceless system 2. Explanations 
15. 15. Continuity of E fields  <ul><li>: continuity of normal D </li></ul><ul><li>: continuity of tangential E </li></ul>Gauss’ divergence theorem Stokes’ theorem 2. Explanations
16. 16. Continuity of H fields  <ul><li>: continuity of normal B </li></ul><ul><li>: continuity of tangential H </li></ul>Biot-Savart’s law Ampere’s law 2. Explanations