MAT 21A Study Guide - Midterm Guide: Volume Integral, Curve, Surface Integral

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9 Jan 2019
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MAT 21A Full Course Notes
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MAT 21A Full Course Notes
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Full name (c01 li, c02 smothers, c03 kshirsagar, c04 shu, c05 ming, c06 smothers) Q1 scratch/extra space (do not erase your scratch computations, they might earn partial credit): The electric eld of a particle at the origin with charge q is given by q. The electric eld ~e of two charged particles at two different positions is obtained by adding the electric eld of the. Rst particle to the electric eld of the second particle. Write down the electric eld of a pair of particles where the. Rst particle has charge q and is at the origin and the second particle has charge q and is at position ~a. Draw a picture showing the two particles and four closed surfaces sq, sq, sqq and s, where sq contains the charge q, sq contains the charge q, sqq contains both charges and s contains neither charge. Calculate the ux integral of ~e for each of these four surfaces.

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