Density, density, density. (a) A charge -319e is uniformly distributed along a c

Question

Density, density, density. (a) A charge -319e is uniformly distributed along a circular are of radius 4.10 cm, which subtends an angle of 64 degree. What is the linear charge density along the arc? (b) A charge -319e is uniformly distributed over one face of a circular disk of radius 3.40 cm. What is the surface charge density over that face? (c) A charge -319e is uniformly distributed over the surface of a sphere of radius 3.60 cm. What is the surface charge density over that surface? (d) A charge -319e is uniformly spread through the volume of a sphere of radius 2.00 cm. What is the volume charge density in that sphere? (a) Number Units (b) Number Units (c) Number Units (d) Number Units

Explanation / Answer

a) Get the arc length 2*pi*r (64/360) = 2*3.14*4.10*10^-2 *64/360 m = 0.04577 m

So the liner charge density = -319*1.6*10^-19 /0.04577 Coulombs/m , If it doesn't accept with negative put positive, check the calculations 4.10*10^-2 I have done to convert cm to m !

b) Get the area pi*3.4^2*10^-4 m^2 , Surface charge density= -319*1.6*10^-19/(pi*3.4^2*10^-4) Coulomb/m^2

c) Surface area of sphere = 4 *pi* 3.6^2*10^-4 , Same numerator as previous one, Unit also same solve !

d) Volume of sphere = 4/3*pi*2^3*10^-6 m^3 , Same numerator again solve , Unit Coulomb/m^3

For coulombs they may ask to use C

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