Linear/Surface/Volume Charge Density

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SUMMARY

The discussion revolves around calculating charge densities for various geometrical configurations involving a charge of -345e. The calculations include linear charge density for a circular arc, surface charge density for a circular disk, surface charge density for a sphere, and volume charge density for a sphere. The formulas used are based on charge divided by distance, area, or volume, resulting in specific values for each case. The user expresses confusion over discrepancies with WebAssign's feedback on their calculations.

PREREQUISITES
  • Understanding of linear charge density calculations
  • Knowledge of surface charge density concepts
  • Familiarity with volume charge density principles
  • Proficiency in using the constants for elementary charge (e = 1.602 x 10^-19 C)
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  • Review the derivation of linear charge density formulas
  • Study the differences between surface and volume charge densities
  • Learn about significant figures in scientific calculations
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Physics students, educators, and anyone involved in electrostatics or charge distribution problems will benefit from this discussion.

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Homework Statement



(a) A charge of -345e is uniformly distributed along a circular arc of radius 4.00 cm, which subtends an angle of 41°. What is the linear charge density along the arc?

(b) A charge of -345e is uniformly distributed over one face of a circular disk of radius 1.90 cm. What is the surface charge density over that face?

(c) A charge of -345e is uniformly distributed over the surface of a sphere of radius 1.90 cm. What is the surface charge density over that surface?

(d) A charge of -345e is uniformly spread through the volume of a sphere of radius 1.90 cm. What is the volume charge density in that sphere?

Homework Equations





The Attempt at a Solution



OK so this should be really simple right??

Part a)

CHARGE / DISTANCE
(-345 * 1.602 * 10^-19)/((41/360)*2*pi*.04) = -1.9309*10^-15 C/m


Part b)

CHARGE / AREA
(-345 * 1.602 * 10^-19)/(pi*.019^2) = -4.8733*10^-14 C/m^2


part c)

CHARGE / AREA
(-345 * 1.602 * 10^-19)/(4*pi*.019^2) = -1.2183*10^-14 C/m^2


part d)

CHARGE / VOLUME
(-345 * 1.602 * 10^-19)/((4/3)*pi*.019^3) = -1.9236*10^-12 C/m^3



According to my WebAssign homework, all these are wrong. What am I doing?
 
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Nothing that I can see. I get a different exponent for the first one, but that's probably just a typo. Wrong number of significant figures? Something nit-picky like that?
 

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