Electromagnetic formula sheet
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Vector-Analysis: Elements Rectangular Cylindrical Spherical dl dS dV [ ][ ][ ], [ ][ ][ ], , , [ ][ ][ ], [ ][ ][ ], , , Coordinate Systems Gradient divergence Rectangular Cylindrical Spherical Electrostatics: , , , , ∮ , ∮ , , , ∫ , ∫ , ∫ , ∫ , , , , , ∫ , D= , ∮ ∫ , , , , , ( ) , , Magnetostatics: , ∫ , , , , ∮ , ( ), ∮ , , , , , ∮ (law of conservation of magnetic flux), ∮ , , , , ∮ , ∮ , ∮ , ∮ , , , , ∮ , ∮ ∮ , , , , , ∫ Time Varying Fields and Maxwell’s Equations: , ∮ ∫ , ∮ , Differential form Integral form Significance ∮ Faraday’s Law ∮ ∮ Ampere’s circuital Law ∮ Gauss’s Law ∮ No isolated magnetic charge Spherical to Rectangular and vice versa Cylindrical to Rectangular and vice versa Electromagnetic Formula Sheet Haris H.
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Transcript of Electromagnetic formula sheet
Vector-Analysis:
Elements Rectangular Cylindrical Spherical
dl
dS
dV
[
] [
] [
], [
] [
] [
], , ,
[
] [
] [
], [
] [
] [
], , ,
Coordinate Systems Gradient divergence
Rectangular
Cylindrical
Spherical
Electrostatics:
, ,
, , ∮
, ∮
,
, ,
∫
,
∫
,
∫
,
∫
,
,
, ,
,
∫
, D= , ∮ ∫
, ,
, ,
,
(
) ,
,
Magnetostatics:
, ∫ , ,
,
, ∮
, (
) , ∮
, ,
, , , ∮
(law of conservation of
magnetic flux), ∮
, , , ,
∮
,
∮
,
∮
,
∮
, , , , ∮
, ∮
∮
,
, , , , ∫
Time Varying Fields and Maxwell’s Equations:
, ∮ ∫
, ∮ ,
Differential form Integral form Significance
∮
Faraday’s Law
∮ ∮
Ampere’s circuital Law
∮ Gauss’s Law
∮ No isolated magnetic charge
Spherical to Rectangular and vice versa
Cylindrical to Rectangular and vice versa
Electromagnetic Formula Sheet Haris H.
Analogous Relation between the quantities in electrostatics and those in magnetostatics is as follows
Electrostatics Magnetostatics
∮
∮
∮
∮
Irrotational Divergenceless
Not solenoidal unless Solenoidal
, ,
∫ ∫
∫
∮
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