(a) A charge of -335 e is uniformly distributed along a circular arc of radius 3

Question

(a) A charge of -335e is uniformly distributed along a circular arc of radius 3.80 cm, which subtends an angle of 42°. What is the linear charge density along the arc?
_____C/m

(b) A charge of -335e is uniformly distributed over one face of a circular disk of radius 1.95 cm. What is the surface charge density over that face?
_____C/m2

(c) A charge of -335e is uniformly distributed over the surface of a sphere of radius 1.95 cm. What is the surface charge density over that surface?
_____C/m2

(d) A charge of -335e is uniformly spread through the volume of a sphere of radius 1.95 cm. What is the volume charge density in that sphere?
_____C/m3

Explanation / Answer

Part a)

CHARGE / DISTANCE

(-335 * 1.602 * 10^-19)/((42/360)*2*pi*0.038)

= - 1.9276*10^-15 C/m

Part b)

CHARGE / AREA

(-335 * 1.602 * 10^-19)/(pi*0.0195^2)

= - 4.4984*10^-14 C/m^2

part c)

CHARGE / AREA

(-335 * 1.602 * 10^-19)/(4*pi*0.0195^2)

= -1.1239*10^-14 C/m^2

part d)

CHARGE / VOLUME

(-335 * 1.602 * 10^-19)/((4/3)*pi*0.0195^3)

= -1.7287*10^-12 C/m^3

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