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700_Physics ProblemsTechnical Physics

700_Physics ProblemsTechnical Physics - 40 Gausss Law...

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40 Gauss’s Law P24.45 The charge divides equally between the identical spheres, with charge Q 2 on each. Then they repel like point charges at their centers: F k Q Q L R R k Q L R e e = + + = + = × × = 2 2 4 2 8 99 10 60 0 10 4 2 01 2 00 2 2 2 9 6 2 2 b gb g a f a f e j a f . . . . N m C C m N 2 2 . P24.46 The electric field on the surface of a conductor varies inversely with the radius of curvature of the surface. Thus, the field is most intense where the radius of curvature is smallest and vice-versa. The local charge density and the electric field intensity are related by E = σ 0 or σ =∈ 0 E . (a) Where the radius of curvature is the greatest, σ =∈ = × × = 0 12 4 8 85 10 2 80 10 248 E min 2 2 2 C N m N C nC m . . e je j . (b) Where the radius of curvature is the smallest, σ =∈ = × × = 0 12 4 8 85 10 5 60 10 496 E max . . C N m N C nC m 2 2 2 e je j . P24.47 (a) Inside surface: consider a cylindrical surface within the metal. Since E inside the conducting shell is zero, the total charge inside the gaussian surface must be zero, so the inside
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