p7310_7

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Set 7–due 14 October The midterm will be Friday, October 16, 7-830 PM in G-2B47. “After a few weeks of the most strenuous work of my life, the darkness lifted and unexpected vistas began to appear.” (M. Planck, about life in 1900) 1) Jackson 4.9. [20 points] (a)–10 points, (b)–4 points, (c)–6 points. 2) Jackson 4.13 [15 points] 3) Jackson 4.10 [10 points]. 4) [15 points] A sphere of radius R is made of a uniaxial dielectric with dielectric constant ǫ along two principal axes and dielectric constant ǫ 3 along the third. The sphere is placed in a uniform electric field, with arbitrary orientation. Find the torque on the sphere. 1

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electrodynamics

Transcript of p7310_7

Page 1: p7310_7

Set 7–due 14 October

The midterm will be Friday, October 16, 7-830 PM in G-2B47.

“After a few weeks of the most strenuous work of my life, the darkness liftedand unexpected vistas began to appear.” (M. Planck, about life in 1900)

1) Jackson 4.9. [20 points] (a)–10 points, (b)–4 points, (c)–6 points.

2) Jackson 4.13 [15 points]

3) Jackson 4.10 [10 points].

4) [15 points] A sphere of radius R is made of a uniaxial dielectric with dielectricconstant ǫ along two principal axes and dielectric constant ǫ3 along the third.The sphere is placed in a uniform electric field, with arbitrary orientation. Findthe torque on the sphere.

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