emhw02 - Electromagnetic Theory I Problem Set 2 Due 7...

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Unformatted text preview: Electromagnetic Theory I Problem Set 2 Due: 7 September 2011 (5 September is Labor Day, no classes) 5. a) Prove that an electron placed at the center of a spherical cavity in a conductor is shielded from external gravitational fields. In other words the total force on that electron is zero when the conductor is held fixed in an arbitrary (static and Newtonian) gravitational field. b) Prove that the instantaneous acceleration of a similarly placed positron (with charge equal and opposite to that of the electron and masss equal to that of the electron) is twice the normal gravitational acceleration. c) Find the instantaneous acceleration of a similarly placed muon, which has the same charge as the electron but a different mass m μ > m e . (In fact the muon is about 200 times heavier than the electron). 6. Four identical spherical conductors are placed with their centers at the corners of a square. Number them 1,2,3,4 as you go clockwise around the square. Consider the capacitor coefficients...
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emhw02 - Electromagnetic Theory I Problem Set 2 Due 7...

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