(a) A charge of -345 e is uniformly distributed along acircular arc of radius 3.

Question

(a) A charge of -345e is uniformly distributed along acircular arc of radius 3.90 cm,which subtends an angle of 45°. What is the linearcharge density along the arc?
C/m

(b) A charge of -345e is uniformly distributed over oneface of a circular disk of radius 2.20 cm. What is the surface charge density overthat face?
C/m2

(c) A charge of -345e is uniformly distributed over thesurface of a sphere of radius 2.20 cm. What is the surface charge density overthat surface?
C/m2

(d) A charge of -345e is uniformly spread through thevolume of a sphere of radius 2.20 cm. What is the volume charge density inthat sphere?
C/m3

Explanation / Answer

(a) linear density = charge / length = charge / r = -345 * 1.60 x10-19 / 0.0390 * /4 = .           =     -1.802 x 10-15 C/m . (b) surface density = charge /area   = charge / r2 = -345 * 1.60 x 10-19 / *0.0222 = .         =    -3.63 x10-14 C/m2 . (c) surface density = charge /area   = charge / 4r2 = -345 * 1.60 x 10-19 / 4 *0.0222 = .         =    -9.076 x10-15 C/m2 . (d) volume density = charge / volume =charge / (4/3) r3 = -345 * 1.60 x10-19 / (4/3) * 0.0223 = .         =    -1.238 x10-12 C/m2 . (c) surface density = charge /area   = charge / 4r2 = -345 * 1.60 x 10-19 / 4 *0.0222 = .         =    -9.076 x10-15 C/m2 . (d) volume density = charge / volume =charge / (4/3) r3 = -345 * 1.60 x10-19 / (4/3) * 0.0223 = .         =    -1.238 x10-12 C/m2 .         =    -9.076 x10-15 C/m2 . (d) volume density = charge / volume =charge / (4/3) r3 = -345 * 1.60 x10-19 / (4/3) * 0.0223 = .         =    -1.238 x10-12 C/m2 . (d) volume density = charge / volume =charge / (4/3) r3 = -345 * 1.60 x10-19 / (4/3) * 0.0223 = .         =    -1.238 x10-12 C/m2 .         =    -1.238 x10-12 C/m2

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