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Notes+3+ Fall 2004

# Notes+3+ Fall 2004 - Notes 3 Fall 2004 Time Varying Fields...

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Notes 3 Fall 2004.doc Time Varying Fields and Maxwell’s Equations We will be interested in studying the behavior and relationships between four electromagnetic vector field quantities: 1 ) The electric field strength, , given in units of ( t , z , y , x E G m V . The electric flux density, , given in units of ( t , z , y , x D G ) 2 m C . The magnetic field strength, , given in units of ( t , z , y , x H G ) m A . The magnetic flux density, , given in units of ( t , z , y , x B G ) 2 m Wb or . T The source of the static electric field is the charge density, v ρ . The subscript v denotes that this is a volume charge density. It has units of 3 m C . Addittionally, a time-varying electric field arises in the case of a time-varying magnetic field. The source of the static magnetic field is the steady state current density, J G . It has units of 2 m A . Additionally, a time-varying magnetic field will arise in the case of a time-varying electric field. These fields are related to each other via constitutive parameters that are functions of the material environment through which the electromagnetic field is passing and are not necessarily constants. How these parameters relate to the fields are together known as the constitutive relations : E D G G ε = (definition of permittivity, ε . Units: 2 2 m N C m F = ) H B G G µ = (definition of permeability, µ . Units: A m T m H = ) E G G σ = c J (definition of conductivity, σ . Units: m S ) ( refers to the conduction current density about which we will have more to say later) c J G In free space

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Notes+3+ Fall 2004 - Notes 3 Fall 2004 Time Varying Fields...

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