(II) A very long solid nonconducting cylinder of radius R 1 is uniformly charged with a charge density ρ E . It is surrounded by a concentric cylindrical tube of inner radius R 2 and outer radius R 3 as shown in Fig. 22–36, and it too carries a uniform charge density ρ E . Determine the electric field as a function of the distance R from the center of the cylinders for ( a ) 0 < R < R 1 , ( b ) R 1 < R < R 2 , ( c ) R 2 < R < R 3 , and ( d ) R > R 3 . ( e ) If ρ E = 15 μ C/m 3 and R 1 = 1 2 R 2 = 1 3 R 3 = 5.0 cm , plot E as a function of R from R = 0 to R = 20.0 cm. Assume the cylinders are very long compared to R 3 . FIGURE 22–36 Problem 38.
(II) A very long solid nonconducting cylinder of radius R 1 is uniformly charged with a charge density ρ E . It is surrounded by a concentric cylindrical tube of inner radius R 2 and outer radius R 3 as shown in Fig. 22–36, and it too carries a uniform charge density ρ E . Determine the electric field as a function of the distance R from the center of the cylinders for ( a ) 0 < R < R 1 , ( b ) R 1 < R < R 2 , ( c ) R 2 < R < R 3 , and ( d ) R > R 3 . ( e ) If ρ E = 15 μ C/m 3 and R 1 = 1 2 R 2 = 1 3 R 3 = 5.0 cm , plot E as a function of R from R = 0 to R = 20.0 cm. Assume the cylinders are very long compared to R 3 . FIGURE 22–36 Problem 38.
(II) A very long solid nonconducting cylinder of radius R1 is uniformly charged with a charge density ρE. It is surrounded by a concentric cylindrical tube of inner radius R2 and outer radius R3 as shown in Fig. 22–36, and it too carries a uniform charge density ρE. Determine the electric field as a function of the distance R from the center of the cylinders for (a) 0 < R < R1, (b) R1 < R < R2, (c) R2 < R < R3, and (d) R > R3. (e) If ρE = 15 μC/m3 and
R
1
=
1
2
R
2
=
1
3
R
3
=
5.0
cm
, plot E as a function of R from R = 0 to R = 20.0 cm. Assume the cylinders are very long compared to R3.
(b): A conducting sphere of radius 1.0cm carries a charge which is uniformly distributed on its
surface. The surface charged density is 0.5C/cm², Calculate the electric field at the surface of
sphere.
wid
8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has
(within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball
of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field
at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm?
|
9+
b
(III) A point charge Q rests at the center of an uncharged thin spherical conducting shell. (See Fig. 16–34.) What is the electric field E as a function of r (a) for r less than the inner radius of the shell, (b) inside the shell, and(c) beyond the shell? (d) How does the shell affect the field due to Q alone? How does the charge Q affect the shell?
Chapter 22 Solutions
Physics for Scientists and Engineers with Modern Physics
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