A solid spherical non-conductor of radius 14.5 cm has a uniform charge density o

Question

A solid spherical non-conductor of radius 14.5 cm has a uniform charge density of -2.10 C/m3 (a) Find the magnitude of the electric field at a distance of 8.90 cm from the center of the sphere N/C (b) Find the magnitude of the electric field at a distance of 23.0 cm from the center of the sphere. N/C (c) Now consider a solid spherical conductor of same radius with the same total charge as the non-conducting sphere in part (a). Find the electric field at the two distances indicated in parts (a) and ( Er 8.90 Er 23.0 N/C N/C

Explanation / Answer

Given,

r = 14.5 cm ; rho = 2.1 uC/m^3

a)r = 8.9 cm

Applying Gauss law on spherical suface

E.A = Q/e0

Q = 4/3 pi r^3 rho

E (4 pi r^2) = 4/3 pi r^3 rho/e

E = rho r/3 e0

E = 2.1 x 10^-6 x 0.089/(3 x 8.85 x 10^-12) = 7.04 x 10^4 N/C

Hence, E = 7.04 x 10^4 N/C

b)r = 23 cm

Q = 4/3 pi R^3 rho

E (4 pi r^2) = 4/3 pi R^3 rho/e

E = rho R^3/3 e0 r^2

E = 2.1 x 10^-6 x 0.145^3/(3 x 8.85 x 10^-12 x 0.23^2) = 4.56 x 10^4 N/C

Hence, E = 4.56 x 10^4 N/C

c)Remains the same

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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