A Student’s Guide To Maxwell’s Equations Daniel Fleisch Student's Maxwell's
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- Cover
- Half-title
- Title
- Copyright
- Contents
- Preface
- Acknowledgments
- 1 Gauss's law for electric fields
- 1.1 The integral form of Gauss's law
- The electric field
- The dot product
- The unit normal vector
- The component of E normal to a surface
- The surface integral
- The flux of a vector field
- The electric flux through a closed surface
- The enclosed charge
- The permittivity of free space
- Applying Gauss's law (integral form)
- Example 1.1: Given a charge distribution, find the flux through a closed surface surrounding that charge.
- Example 1.2: Given the flux through a closed surface, find the enclosed charge.
- Example 1.3: Find the flux through a section of a closed surface.
- Example 1.4: Given E over a surface, find the flux through the surface and the charge enclosed by the surface.
- Example 1.5: Given a symmetric charge distribution, find E.
- 1.2 The differential form of Gauss's law
- 1.1 The integral form of Gauss's law
- 2 Gauss's law for magnetic fields
- 3 Faraday's law
- 3.1 The integral form of Faraday's law
- The induced electric field
- The line integral
- The path integral of a vector field
- The electric field circulation
- The rate of change of flux
- Lenz's law
- Applying Faraday's law (integral form)
- Example 3.1: Given an expression for the magnetic field as a function of time, determine the emf induced in a loop of specified size.
- Example 3.2: Given an expression for the change in orientation of a conducting loop in a fixed magnetic field, find the emf induced in the loop.
- Example 3.3: Given an expression for the change in size of a conducting loop in a fixed magnetic field, find the emf induced in the loop.
- 3.2 The differential form of Faraday's law
- 3.1 The integral form of Faraday's law
- 4 The Ampere-Maxwell law
- 4.1 The integral form of the Ampere-Maxwell law
- 4.2 The differential form of the Ampere-Maxwell law
- 5 From Maxwell's Equations to the wave equation
- Appendix: Maxwell’s Equations in matter
- Further reading
- Index