Electro Magnetic Fields

Faheem Ahmed Khan, Assoc Prof. EEE Department,

Ghousia College of Engineering, Ramanagaram

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Coulomb’s Law and electric field intensity

• Experimental law of Coulomb,• Electric field intensity,• Field due to continuous volume charge distribution,• Field of a line charge• Electric flux density,• Gauss’ law, Divergence,• Maxwell’s First equation(Electrostatics),• Vector operator Ñ and divergence theorem

EEE, GCE,Ramanagaram

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Energy and potential • Energy expended in moving a point charge in an electric field,• The line integral,• Definition of potential difference and Potential,• The potential field of a point charge and system of charges,• Potential gradient ,• Energy density in an electrostatic field• Current and current density,• Continuity of current, metallic conductors, Conductor

properties and boundary conditions, boundary conditions forperfect Dielectrics,

• Capacitance and examples.

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Poisson’s and Laplace’s equations

• Derivations of Poisson’s and Laplace’s Equations• Uniqueness theorem,• Examples of the solutions of Laplace’s and• Poisson’s equations

EEE, GCE,Ramanagaram

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The steady magnetic field

• Biot-Savart law,• Ampere’s circuital law,• Curl,• Stokes’ theorem,• Magnetic flux and flux density,• scalar and Vector magnetic• potentials

EEE, GCE,Ramanagaram

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Magnetic forces

• Force on a moving charge and differential currentelement,

• Force between differential current elements,• Force and torque on a closed circuit.• Magnetization and permeability,• Magnetic boundary conditions,• Magnetic circuit, Potential energy and forces on

magnetic materials,• Inductance and Mutual Inductance

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Time varying fields and Maxwell’s equations

• Faraday’s law,• Displacement current,• Maxwell’s equation in point and Integral form,• Retarded potentials

EEE, GCE,Ramanagaram

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Uniform plane wave

• Wave propagation in free space and dielectrics,• Poynting’s theorem and• wave power,• propagation in good conductors – (skin-effect).

EEE, GCE,Ramanagaram

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Plane waves at boundaries and in dispersive media: Reflection of uniform

• Plane waves at boundaries and in dispersivemedia: Reflection of uniform

• plane waves at normal incidence• SWR• Plane wave propagation in general directions.

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Coulomb’s Law and electric field intensity

• Experimental law of Coulomb, • Electric field intensity, • Field due to continuous volume charge distribution, • Field of a line charge • Electric flux density, • Gauss’ law, Divergence, • Maxwell’s First equation(Electrostatics), • Vector operator Ñ and divergence theorem

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Experimental law of Coulomb

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Electric field intensity

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Field due to continuous line charge

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Electric flux density

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Gauss’ law, Divergence & Maxwell’s First equation

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Energy and potential • Energy expended in moving a point charge in an electric field, • The line integral, • Definition of potential difference and Potential, • The potential field of a point charge and system of charges, • Potential gradient , • Energy density in an electrostatic field • Current and current density, • Continuity of current, metallic conductors, Conductor

properties and boundary conditions, boundary conditions for perfect Dielectrics,

• Capacitance and examples.

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Energy expended in The line integral

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Definition of potential difference and Potential

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The potential field of a point charge Potential gradient

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Current and current density and Capacitor

Capacitor CURRENT

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Conductor properties and boundary conditions, boundary conditions for perfect Dielectrics

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Poisson’s and Laplace’s equations

• Derivations of Poisson’s and Laplace’s Equations • Uniqueness theorem, • Examples of the solutions of Laplace’s and • Poisson’s equations

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Derivations of Poisson’s and Laplace’s Equations

Poisson’s Equation

Laplace Equation

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Laplace’s Equations

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Uniqueness theorem

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Examples of the solutions of Laplace’s

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Poisson’s equations

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The steady magnetic field

• Biot-Savart law, • Ampere’s circuital law, • Curl, • Stokes’ theorem, • Magnetic flux and flux density, • scalar and Vector magnetic potentials

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Biot-Savart law

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Ampere’s circuital law

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Curl

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Stoke’s Theorem

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Magnetic forces

• Force on a moving charge and differential current element,

• Force between differential current elements, • Force and torque on a closed circuit. • Magnetization and permeability, • Magnetic boundary conditions, • Magnetic circuit, Potential energy and forces on

magnetic materials, • Inductance and Mutual Inductance

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Force on a moving charge and differential current element,

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Force between differential current elements

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Magnetization Boundary Conditions

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Magnetic circuit equations

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Inductance and Mutual Inductance

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Time varying fields and Maxwell’s equations

• Faraday’s law, • Displacement current, • Maxwell’s equation in point and Integral form, • Retarded potentials

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Faraday’s law

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Displacement current

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Maxwell’s equation in point and Integral form

Maxwell’s equation in point Maxwell’s equation in Integral Form

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Retarded potentials

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Retarded potentials

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Uniform plane wave

• Wave propagation in free space and dielectrics, • Poynting’s theorem and • wave power, • propagation in good conductors – (skin-effect).

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Wave propagation in free space and dielectrics

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Poynting’s theorem

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Propagation in good conductors (skin-effect).

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SWR

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