Density, density, density . (a) A charge -313 e is uniformly distributed along a

Question

Density, density, density. (a) A charge -313e is uniformly distributed along a circular arc of radius 4.50 cm, which subtends an angle of 52o. What is the linear charge density along the arc? (b) A charge -313e is uniformly distributed over one face of a circular disk of radius 4.70 cm. What is the surface charge density over that face? (c) A charge -313e is uniformly distributed over the surface of a sphere of radius 4.10 cm. What is the surface charge density over that surface? (d) A charge -313e is uniformly spread through the volume of a sphere of radius 2.70 cm. What is the volume charge density in that sphere?

Density, density, density. (a) A charge -313e is uniformly distributed along a circular arc of radius 4.50 cm, which subtends an angle of 52 degree. What is the linear charge density along the arc? (b) A charge -313e is uniformly distributed over one face of a circular disk of radius 4.70 cm. What is the surface charge density over that face? (c) A charge -313e is uniformly distributed over the surface of a sphere of radius 4.10 cm. What is the surface charge density over that surface? (d) A charge -313e is uniformly spread through the volume of a sphere of radius 2.70 cm. What is the volume charge density in that sphere? Number Units Number Units Number Units Number Units

Explanation / Answer

a)

length of the arc = r theta

theta in radians = 52*pi /180 =0.91

L= 4.5*10^-2 *0.91=0.041

charge density = q/L = 1.22*10^-15

b)

area = pi r^2 = 6.94*10^-3

charge density = 7.22*10^-15

c)

area = 4 pi r^2 = 0.0211

charge density = 2.37*10^-15

d)

volume = 4/3 pi r^3

= 8.244*10^-5

charge density = 6.074*10^-13

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