Chapter 22, Problem 022 Density, density, density. (a) A charge -313e is uniform

Question

Chapter 22, Problem 022 Density, density, density. (a) A charge -313e is uniformly distributed along a circular arc of radius 5.40 cm, which subtends an angle of 46° What is the linear charge density along the arc? (b) A charge -313e is uniformly distributed over one face of a circular disk of radius 3.70 cm. What is the surface charge density over that face? (c) A charge -313e is uniformly distributed over the surface of a sphere of radius 3.70 cm. What is the surface charge density over that surface? (d) A charge -313e is uniformly spread through the volume of a sphere of radius 5.20 cm. What is the volume charge density in that sphere? (a) Number (b) Number (c) Number (d) Number Click if you would like to Show Work for this question: Units Units Units Units Open Show Work

Explanation / Answer

the ration of angle to 360=46/360

Thus lenth of arc will be 46/360 odf the the circumference=(46/360)*2*pi*5.40=4.33 cm

linear charge density=charge per unit length=-313e/4.33 cm= - 7.286e /cm

b)area of one face of a disk=3.14*(3.70^2)=42.987 cm^2

surface charge density over that surface=-313e/42.987 =-7.28e /cm^2

c)surface area of sphere =4*3.14*(3.70^2)=172.03 cm^2

surface charge density over that surface=-313e/172.03 =-1.82e /cm^2

d)volume of sphere=(4/3)*3.14*r^3=(4/3)*3.14*(5.2)^3=588.98 cm^3

volume charge density=-313e/588.98= - 0.53 e /cm^3

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.