Question

Density, density, density. (a) A charge-329e is uniformly distributed along a circular arc of radius 6.30 cm, which subtends an angle of 74º. What is the linear charge density along the arc? (b) A charge-329e is uniformly distributed over one face of a circular disk of radius 2.10 cm. What is the surface charge density over that face? (c) A charge-329e is uniformly distributed over the surface of a sphere of radius 5.30 cm. What is the surface charge density over that surface? (d) A charge-329e is uniformly spread through the volume of a sphere of radius 3.50 cm. What is the volume charge density in that sphere?

Answer 1

6. 30x102 (A) 74 x TT Arc 3 = Arc Radius 180 Arc 74x6.30x10270 - 180 charge Density change Arc - -3290 X 180 74x6:30 X10 XT

(B) ñ R2 3.8 x 10-14 a = -6.47 810-16 c/m change change Area 329 X 1.6 X10 lol 3.14 (2.1x102)? (C) 6 - 2 G m Q 4TR? T = T a -19 329 X 1.6 XID 4 x 3.14x (5.3x16?)? = -1.49 X10-15c/m? (8) 3Q 4 STR 4 TR 9 3x (-329 x 106 x 10-19) 4x 3.14 x (3.5 X 102)3 f = -2.93 X10-13c/m3 3 3 =