1. Explain (with specific reference to Maxwell's equations) why a traveling wave in the electric field must always be associated with a propagating wave in the magnetic field.

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Chapter1: Units, Trigonometry. And Vectors
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SECTION A
You must answer ALL questions in this Section.
1. Explain (with specific reference to Maxwell's equations) why a traveling wave in the
electric field must always be associated with a propagating wave in the magnetic field.
2. Explain why a free charge q will be attracted to the surface of an electrically neutral
conductor, and explain how you expect this force to vary with distance compared to
the regular Coulomb force between two charges.
3. Explain how you could estimate the refractive index of glass given a power supply,
a sheet of glass, two flat pieces of metal, some wire and appropriate instruments for
measuring the properties of electrical circuits.
4. With reference to one or more of Maxwell's equations, explain why it is apparently
impossible to find a static magnetic field which has a "porcupine" configuration - that
is, a surface at which all the field vectors are pointing in the outward direction.
5. Describe the phenomenon of diamagnetism. A grape (which consists mainly of water,
a diamagnetic material) is placed at the top of a very powerful solenoid where it is
suspended in space. Sketch the magnetic field seen near the top of the solenoid and the
likely magnetic field of the grape. Explain why the grape will feel a repulsive force.
Transcribed Image Text:SECTION A You must answer ALL questions in this Section. 1. Explain (with specific reference to Maxwell's equations) why a traveling wave in the electric field must always be associated with a propagating wave in the magnetic field. 2. Explain why a free charge q will be attracted to the surface of an electrically neutral conductor, and explain how you expect this force to vary with distance compared to the regular Coulomb force between two charges. 3. Explain how you could estimate the refractive index of glass given a power supply, a sheet of glass, two flat pieces of metal, some wire and appropriate instruments for measuring the properties of electrical circuits. 4. With reference to one or more of Maxwell's equations, explain why it is apparently impossible to find a static magnetic field which has a "porcupine" configuration - that is, a surface at which all the field vectors are pointing in the outward direction. 5. Describe the phenomenon of diamagnetism. A grape (which consists mainly of water, a diamagnetic material) is placed at the top of a very powerful solenoid where it is suspended in space. Sketch the magnetic field seen near the top of the solenoid and the likely magnetic field of the grape. Explain why the grape will feel a repulsive force.
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