(a) A charge -364 e is uniformly distributed along a circular arc of radius 7.30

Question

(a) A charge -364e is uniformly  distributed along a circular arc of radius 7.30 cm, which  subtends an angle of 63o. What is the linear charge density  along the arc?

(b) A charge -364e is uniformly distributed  over one face of a circular disk of radius 2.40 cm. What is the  surface charge density over that face?

(c) A charge -364e is  uniformly distributed over the surface of a sphere of radius  2.30 cm. What is the surface charge density over that surface?  

(d) A charge -364e is uniformly spread through the volume  of a sphere of radius 4.50 cm. What is the volume charge density  in that sphere?   

Explanation / Answer

A length = 2*pi*r*63/360 = 8.027 cm

linear charge density = -364e / 0.08027 = -5.832*10^-17/0.08027 = -7.265*10^-16 C/m

B area = pi*0.024^2 = 1.81*10^-3 m^2

the surface charge density = -364e /1.81*10^-3 = -3.22*10^-14 C/m^2

C area = 4*pi*0.023^2 =6.65*10^-3 m^2

the surface charge density = -364e /6.65*10^-3 = -8.77*10^-15 C/m^2

D volume = ( 4/3*pi*0.045^3) = 3.82*10^-4 m^3

volume charge density = -364e /3.82*10^-4 = -1.53*10^-13 C/m^3

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