(a) A charge of -290 e is uniformly distributed along acircular arc of radius 4.
ID: 1666175 • Letter: #
Question
(a) A charge of -290e is uniformly distributed along acircular arc of radius 4.10 cm,which subtends an angle of 45°. What is the linearcharge density along the arc?C/m
(b) A charge of -290e is uniformly distributed over oneface of a circular disk of radius 2.10 cm. What is the surface charge density overthat face?
C/m2
(c) A charge of -290e is uniformly distributed over thesurface of a sphere of radius 2.10 cm. What is the surface charge density overthat surface?
C/m2
(d) A charge of -290e is uniformly spread through thevolume of a sphere of radius 2.10 cm. What is the volume charge density inthat sphere?
C/m3
Explanation / Answer
a) the linear charge density along the arc : = Q/ L = -290*1.6x10^-19/(4.1x10^-2*/4) = -1.44x10^-15 C/m b) the surface charge density over that face : = Q/A = -290*1.6x10^-19/(*(2.1x106-2)^2) = -3.35x10^-14 C/m2 c) the surface charge density over that surface : ' = Q/A '= -290*1.6x10^-19/(4*(2.1x106-2)^2)= -8.37x10^-15 C/m2 d) the volume charge density in that sphere : = Q/V = -290*1.6x10^-19/(4/3*(2.1x106-2)^3) = -1.196x10^-12 C/m3
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