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 kQ Q LRR kQ LR e e = ++ = + = ×⋅ × = 22 42 899 10 600 10 0 1 200 2 2 2 96 2 2 bg af a f ej .. . . Nm 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 =∈ 0 E . (a) Where the radius of curvature is the greatest, =∈ = × × = 0 12 4 8 85 10 2 80 10 248 E min 2 CNm NC n Cm e j . (b) Where the radius of curvature is the smallest, =∈ = × × = 0 12 4 8 85 10 5 60 10 496 E max n 2 e 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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