In the figure a nonconducting spherical shell of inner radius a = 2.23 cm and outer radius b= 2.70 cm has (within its thickness) a positive volume charge density p = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q = 46.7 fC is located at that center. What value should A have if the electric field in the shell (a srs b) is to be uniform?
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- In the figure a nonconducting spherical shell of inner radius a = 2.33 cm and outer radius b = 2.42 cm has (within its thickness) a positive volume charge densityp = A/r, where A is a constant and ris the distance from the center of the shell. In addition, a small ball of charge q = 48.4 fC is located at that center. What value should A have if the electric field in the shell (a srs b) is to be uniform? Number i 4,36E-11 Units C/m^2In the figure a nonconducting spherical shell of inner radius a- 2.23 cm and outer radius b-2.52 cm has (within its thickness) a positive volume charge density p-A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q- 48.4 fC is located at that center. What value should A have if the electric field in the shell (@srs b) is to be uniform?A sphere of radius 2a is made of a nonconducting material that has a uniform volume charge density p. Assume that the material does not affect the electric field. A spherical cavity of radius a is now removed from the sphere as shown in the figure below. Show that the electric field within the cavity is uniform and is given by E0 and Ey - pa/3.
- Chapter 23, Problem 051 In the figure a nonconducting spherical shell of inner radius a = 2.32 cm and outer radius b = 2.62 cm has(within its thickness) a positive volume charge density ρ A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q = 45.7 fc is located at that center, what value should A have if the electric field in the shell (aFigure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by E; = 3.9 x 10° N/C. What is the linear charge density of the shell?Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distancer from the common axis. The vertical axis scale is set by E, -4.5 x 10° N/C. What is the linear charge density of the shell? Number E r(cm) (A) Units 13.8A long, nonconducting, solid cylinder of radius 5.3 cm has a nonuniform volume charge density p that is a function of radial distance r from the cylinder axis: p- Ar2. For A-3.5 uC/ms, what is the magnitude of the electric field at (a) r= 1.5 cm and (b) r- 11 cm. (a) Number Units (b) Number Units eTextbook and Media Hint GO Tutorial Save for Later Attempts: unlimited Submit AnswerFigure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es= 3.0 × 10³ N/C. What is the linear charge density of the shell? (a) Es 0 -Es Number i -12.68 r (cm) (b) Units nC/m 14.4A long, nonconducting, solid cylinder of radius 4.1 cm has a nonuniform volume charge density p that is a function of radial distance r from the cylinder axis: p = Ar². For A = 2.3 µC/m5, what is the magnitude of the electric field at (a) r = 3.0 cm and (b) r = 6.5 cm.A long, nonconducting, solid cylinder of radius 4.0 cm has a nonuniform volume charge density r that is a function of radial distance r from the cylinder axis: r =Ar2. For A = 2.5 mC/m5, what is the magnitude of the electric field at (a) r = 3.0 cm and (b) r = 5.0 cm?In the figure a nonconducting spherical shell of inner radius a 2.06 cm and outer radius b-2.72 cm has (within its thickness) a positive volume charge density p-A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q- 46.0 fC is located at that center. What value should A have if the electric field in the shell (asrsb) is to be uniform? Number Unitsa) A solid sphere, made of an insulating material, has a volume charge density of ? = a/r, where r is the radius from the center of the sphere, a is constant, and a > 0. What is the electric field within the sphere as a function of the radius r? Note: The volume element dV for a spherical shell of radius r and thickness dr is equal to 4?r2dr. (Use the following as necessary: a, r, and ?0.) b.) What If? What if the charge density as a function of r within the charged solid sphere is given by ? = a/r^2? Find the new magnitude and direction of the electric field within the sphere at radius r. (Use the following as necessary: a, r, and ?0.)SEE MORE QUESTIONS