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assignment03 - z(15 points[3 Purcell Problem 3.4(p.113 More...

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Massachusetts Institute of Technology Department of Physics Physics 8.022 - Fall 2002 Assignment #3 Div, Curl, Laplace's and Poisson's Equations Conductors, Capacitance Reading Purcell Chapter 2 and 3. Problem Set #3 Work on all problems. Not all problems receive equal points. Total points for this set is 100. z (10 points) [1] Useful identities: If u is a scalar function and V is a vector function, show that: (a) (u V )=u V +( u) V and (b) (u V )=u V +( u) V . z (15 points) [2] Purcell Problem 3.3 (p.113): Charges near a conducting plane.
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Unformatted text preview: z (15 points) [3] Purcell Problem 3.4 (p.113): More charges near a conducting plane. z (15 points) [4] Purcell Problem 3.5 (p.114): And even more charges near a conducting plane. z (15 points) [5] Purcell Problem 3.10 (p.115): Spherical capacitor. z (15 points) [6] Purcell Problem 3.16 (p.116): Electric force on a capacitor. z (15 points) [7] Purcell Problem 3.17 (p.116): Design of a spherical capacitor. Erotokritos Katsavounidis...
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