The Electric Field of a Ball of Uniform Charge Density A solid ball of radius rb

Question

The Electric Field of a Ball of Uniform Charge Density A solid ball of radius rb has a uniform charge density p Part A What is the magnitude of the electric field E(r) at a distance r Tb from the center of the ball? Express your answer in terms of p, rb, r, and E0 E(r) Submit Hints My Answers Give Up Review Part Part B What is the magnitude of the electric field E(r) at a distance r rb from the center of the ball? Express your answer in terms of p, r, rb, and E0 E(r) Submit Hints My Answers Give Up Review Part

Explanation / Answer

Here ,

part a)

let the electric field is E

Assuming a spherical sphere

E * 4 * pi * r^2 = * 4/3 pi * r^3/0

E = *r/(3 *0)

the electric field is *r/(3 *0)

part b) for outside the ball
it will behave as a point charge

E = 1/(4pi *0) * * 4/3 * pi * rb^3/(r^2)

E = * rb^3/(3*r^2*0 )

the magnitude of electric field is * rb^3/(3*r^2*0 )

part c)

from equations from a and b

E(0) = 0

also lim r - infinite E = 0

the electric field is maximum at r = rb

the correct options are 1 , 3 , 5

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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