(a) A charge of -315 e is uniformly distributed along a circular arc of radius 3

Question

(a) A charge of -315e is uniformly distributed along a circular arc of radius 3.90 cm, which subtends an angle of 37°. What is the linear charge density along the arc?
C/m

(b) A charge of -315e is uniformly distributed over one face of a circular disk of radius 2.05 cm. What is the surface charge density over that face?
C/m2

(c) A charge of -315e is uniformly distributed over the surface of a sphere of radius 2.05 cm. What is the surface charge density over that surface?
C/m2

(d) A charge of -315e is uniformly spread through the volume of a sphere of radius 2.05 cm. What is the volume charge density in that sphere?
C/m3

Explanation / Answer

(a) =Q/L
=-315e/(37*R/180)=-315e/(0.206R)
=-12507.4e C/m = -2.0x10^-15 C/m

(b) =Q/S
=-315e/(R^2)
=-238590.4e = -3.82x10^-14 C/m^2

(c) =Q/S
=-315e/(4R^2)
= -59647.6e = -9.54x10^-15 C/m^2

(d) =Q/V
=-315e/(4/3R^3)
=-8728916.95e = -1.4 x10^-12 C/m^3

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