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f"//fccos[fc(z-z')] |X — X I 77 Jo 1 * cos (3.149) A number of useful mathematical
results can be obtained from this expansion. If we let x' -»• 0, only the m = 0 term
survives, and we obtain the integral representation: °°cos kz K0(kp) dk (3.150) 1 ...
3.10 Solve for the potential in Problem 3.2, using the appropriate Green's function
obtained in the text, and verify that the answer obtained in this way agrees with
the direct solution from the differential equation. 3.11 A line charge of length Id ...
To obtain Et we merely interchange w3 and w4 and change 6' into TT — 6' (cos 6'
-»• —cos 6'). The relation between angles 6' and 03 can be obtained from the
expres- tan 63 = = Therefore we find where a = Pan rente' cos 0' + t>CME3') (E1 ...
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Introduction to Electrostatics
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