Unformatted text preview: Problem 5.7 A circular loop of line charge. From Problem 5.6 (see your notes for Demo 3), a charge q next to a dielectric medium of permittivity ε produces an image charge of-q ± ε-ε ε + ε ¶ . From this, you should deduce that the loop with a charge density of + λ will have an image loop with a charge density of-λ ± ε-ε ε + ε ¶ . By symmetry, the electric ﬁeld will have only a z component at the point P due to the two loops of charge: E z = 2 πaλ 4 πε [( d-L/ 2) 2 + a 2 ] d-L/ 2 p ( d-L/ 2) 2 + a 2-± ε-ε ε + ε ¶ 2 πaλ 4 πε [( d + L/ 2) 2 + a 2 ] d + L/ 2 p ( d + L/ 2) 2 + a 2 CORNELL UNIVERSITY c ± WES SWARTZ (09/8/29) 3–1...
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- Electromagnet, Permittivity, Fundamental physics concepts, Dielectric, −λ C/m. b