Density, density, density . (a) A charge -332 e is uniformly distributed along a

Question

Density, density, density. (a) A charge -332e is uniformly distributed along a circular arc of radius 4.30 cm, which subtends an angle of 60o. What is the linear charge density along the arc? (b) A charge -332e is uniformly distributed over one face of a circular disk of radius 3.10 cm. What is the surface charge density over that face? (c) A charge -332e is uniformly distributed over the surface of a sphere of radius 5.40 cm. What is the surface charge density over that surface? (d) A charge -332e is uniformly spread through the volume of a sphere of radius 5.30 cm. What is the volume charge density in that sphere?

*Note: All answers should have negative sign

Explanation / Answer

Q = -332*1.6*10^-19 = -5.312*10^-17 C

a) L = (60/360)*2*pi*r = (1/6)*2*3.14*0.043 = 0.045 m

linear charge density = Q/L = -1.18*10^-15 C/m

b) r = 0.031 m

A = pi*r^2 = 3.14*0.031^2 = 0.00302 m^2

surface charge density = Q/A = -1.76*10^-14 C/m^2

c) r = 0.054 m
A = 4*pi*r^2 = 4*3.14*0.054^2 = 0.0367 m^2

surface charge densit = Q/A = -1.45*10^-15 C/m^2

d)r = 0.053 m
V = 4/3 *pi*r^4 = 4/3 *3.14*0.053^3 = 6.23*10^-4 m^3

volume charge density = Q/V = -8.522*10^-14 C/m^3

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