Density, density, density . (a) A charge -318 e is uniformly distributed along a

Question

Density, density, density.

(a) A charge -318e is uniformly distributed along a circular arc of radius 7.00 cm, which subtends an angle of 49o. What is the linear charge density along the arc?

(b) A charge -318e is uniformly distributed over one face of a circular disk of radius 3.10 cm. What is the surface charge density over that face?

(c) A charge -318e is uniformly distributed over the surface of a sphere of radius 5.00 cm. What is the surface charge density over that surface?

(d) A charge -318e is uniformly spread through the volume of a sphere of radius 2.70 cm. What is the volume charge density in that sphere?

No figure was provided.

Explanation / Answer

Part a)

CHARGE / DISTANCE
(-318 * 1.602 * 10^-19)/((49/360)*2*pi*.07) = -1.9309*10^-15 C/m


Part b)

CHARGE / AREA
(-318 * 1.602 * 10^-19)/(pi*.031^2) = -4.8733*10^-14 C/m^2


part c)

CHARGE / AREA
(-318 * 1.602 * 10^-19)/(4*pi*.05^2) = -1.2183*10^-14 C/m^2


part d)

CHARGE / VOLUME
(-318 * 1.602 * 10^-19)/((4/3)*pi*.0.27^3) = -1.9236*10^-12 C/m^3

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