Question

FULL SCREEN PRINTER VERSION BACK Chapter 23, Problem 052 Your answer is partially correct. Try again. The figure shows a spherical shell with uniform volume charge density ρ = 2.15 nC/m, inner radius a = 11.8 cm, and outer radius b = 2.7a. what is the magnitude of the electric field at radial distances (a) r = 0; (b) r- a/2.00, (c) r- a, (d) 1.50a, (e)r-b, and (f) r 3.00b? (a) N Units N/C (c) NumberTO (d) Number (e) Numbe Units NC (f) Number LENK TO SAMIPLE PROBLEM LEN

Answer 1

Since there is no charge inside the shell, the electric field there is zero

E = 0 for r = 0, r = a/2 and r = a

d) The charge included in the shell of radius r = 1.5 a is

$Q_1=\frac{4}{3}\pi ((1.5 a)^3-a^3)\rho=3.5\times 10^{-11}C$

The electric field at r = 1.5 a is

$E_1=\frac{kQ_1}{(1.5 a)^2}=10.08\,\,N/C$

e) Similarly the charge enclosed in the shell is

$Q_2=\frac{4}{3}\pi (b^3-a^3)\rho=2.76\times 10^{-10}C$

The electric field at r = b is

$E_2=\frac{kQ_2}{b^2}=24.48\,\,N/C$

f) The electric field outside the shell is

$E_3=\frac{kQ_2}{(3 b)^2}=2.72\,\,N/C$