Lecture-4-01-24-08 - Lecture-4 From Lecture-3 Sample...

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1 Lecture-4 From Lecture-3 Sample Problem HRW-23-54 Figure 23-54 shows, in cross section, two solid spheres with uniformly distributed charge throughout their volumes. Each has radius R . Point P lies on a line connecting the centers of the spheres, at radial distance R /2 from the center of sphere 1. If the net electric field at point P is zero, what is the ratio q 2 /q 1 of the total charge q 2 in sphere 2 to the total charge q 1 in sphere 1? FIGURE 23-54
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2 Gauss’s Law: Useful if charge distribution is symmetrical, and the flux integral can be evaluated, even without knowing how E depends on position. Some pointers about charge distributions Line of charge : dQ = λ dl (dl: length element) where dl = dx; dy; or dz (Cartesian coordinate) dl = dr; rd θ ; rsin d ϕ (spherical coordinate) dl = dr; rd ; dz (cylindrical coordinate) Sheet of charge : dQ = σ dA (dA: area element) where dA = dxdy; dydz; or dzdx (Cartesian) dA = (rd )( rsin d ) (spherical) dA = (rd )dz (cylindrical) Volume of charge : dQ = ρ d τ (d : volume element) where d = dxdydz (Cartesian) d = dr(rd )(rsin d ) (spherical) d = dr(rd )dz (cylindrical) ∫∫
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This note was uploaded on 02/20/2008 for the course PHYSIC 2 taught by Professor Kim during the Spring '08 term at Lehigh University .

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Lecture-4-01-24-08 - Lecture-4 From Lecture-3 Sample...

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