Two conducting planes at zero potential meet along the z axis, making an angle p between them, as in Fig. 2.12. A unit line charge parallel to the z axis is located between the planes at position (p', '). (a) Show that (470) times the potential in the space between the planes, that is, the Dirichlet Green function G(p, ; p', '), is given by the infinite series G(p, 4, P', 4') = 4 Σ. Αρθρ" sin(n=43) sin(mmφ'/β) 1m
Two conducting planes at zero potential meet along the z axis, making an angle p between them, as in Fig. 2.12. A unit line charge parallel to the z axis is located between the planes at position (p', '). (a) Show that (470) times the potential in the space between the planes, that is, the Dirichlet Green function G(p, ; p', '), is given by the infinite series G(p, 4, P', 4') = 4 Σ. Αρθρ" sin(n=43) sin(mmφ'/β) 1m
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Electrodynamics
Transcribed Image Text:Two conducting planes at zero potential meet along the z axis, making an angle B
between them, as in Fig. 2.12. A unit line charge parallel to the z axis is located
between the planes at position (p', ').
(a) Show that (4 rE,) times the potential in the space between the planes, that is,
the Dirichlet Green function G(p, d; p', 4'), is given by the infinite series
1
G(p, ¢: p', d') = 4 E pp"
mm sin(m TolB) sin(m To'IB)
Transcribed Image Text:Figure 2.12 Intersection of two conducting planes defining a corner in two dimensions
with opening angle B.
B.
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