PLEASE EXPLAIN THIS IN DETAIL AND SHOW WORK . A spherical, non-conducting shell

Question

PLEASE EXPLAIN THIS IN DETAIL AND SHOW WORK .

A spherical, non-conducting shell of inner radius r1=20 cm and outer radius r2=25 cm carries a total charge Q=25e-6 C distibuted uniformly through out the volume of the shell. What is the magnitude of the electric field at a distance r=22 cm from the center of the shell ?

A spherical non-conducting shell of inner radius r1=20 cm and outer radius r2=25 cm carries a total charge Q=25e-6 C distributed uniformly throughout the volume of the shell. What is the magnitude of the electric field at a distance r=22 cm from the center of the shell?

Explanation / Answer

The volume of the shell is (4/3)(25^3 - 20^3) = 31940 cm^3

The charge density = 25 C / 31940cm^3 = 7.827 x 10-10 C/cm^3

The volume of charge inside r = 22cm is (4/3)(22^3 - 20^3) = 11092 cm^3

The amount of charge inside r = 22cm = 11092 x 7.827 x 10-10 = 8.68 x 10^-6 C

From Gauss's Law, the field at 22cm is due only to the charge inside

r = 0.22 cm

E = kq/r^2

E = (9 x 10^9 x 8.68 x 10^-6) / 0.22^2

E = 1.61 x 10^6 N/C

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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