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Unformatted text preview: 3 3) The charge density inside a spherical balloon of radius R varies as ρ ( r ) = ρ er R r 2 . The density outside the sphere is zero. Determine, 1. the total charge Q ; 2. the electric ﬁeld inside and outside the sphere using Gauss’ law; 4 4) The electric potential due to a charged ring ( q ) of radius R at a distance z from its center and on its axis is given by V ( q, R, z ) = 1 4 π± q √ R 2 + z 2 = q 4 π± z ± 1 + R 2 z 2 ²1 2 . (6) However, this problem can also be viewed as an azimuthally symmetric problem and hence the potential for r > R is also given by V sph ( r, θ, φ ) = ∞ X l =0 B l r l +1 P l (cos θ ) . Using, P l (1) = 1, determine the ﬁrst two nonvanishing B l . 5...
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This note was uploaded on 01/28/2010 for the course PHYS 351 taught by Professor Gangopashyaya during the Spring '09 term at Loyola Chicago.
 Spring '09
 Gangopashyaya
 Magnetism, Work

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