In the figure a solid sphere of radius a = 3.70 cm is concentric with a spherica

Question

In the figure a solid sphere of radius a = 3.70 cm is concentric with a spherical conducting shell of inner radius b = 2.00 a and outer radius c = 2.4 a. The sphere has a net uniform charge q_1 = + 3.31 fC: the shell has a net charge q_2 =-q_1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell ? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units

Explanation / Answer

E = kqr/R^3 (at r is less than or equals to the R)

if r is less than or equals to the a electric foeld is zero

if r = a/2

E = kq/a^3*(a/2) = 9*10^9*3.31*10^-15/2*0.037^2

E = 1.09*10^-2 N/C

if r = a

E = kq/a^2 = 2*1.09*10^-2 = 2.18*10^-2 N/C

if r = 1.5 a

E = kq/r^2 = 9*10^9*3.31*10^-15/(1.5*0.037)^2

E = 0.97*10^-2 N/C

if r = 2.3 a

if b<r<c field is zero

E = 0

if r = 3.5 a

net charge = q1+(-q1) = 0

so E = 0

g) net charge on inner surface is zero

q sphere+q inner = 0

q inner = -q sphere = -3.31*10^-15 C

h) q inner+q outer = -3.31*10^-15

q outer = 0 C

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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