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 (a
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- The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.The volumetric charge density of a sphere of radius R is given by p = alpha - alpha.r / R (alpha is a constant and r is the radial distance from the center of the sphere. A) What is the total charge of the sphere? b) What is the electric field in the inner and outer regions of the sphere? provided withFigure (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, -4.2 x 10³ N/C. What is the linear charge density of the shell? E₂ (a) Number 0 r(cm) (6) Units 10.8 C/m^2
- A charge distribution that is spherically symmetric but not uniform radially produces an electric field of magnitude E = Kr4, directed radially outward from the center of the sphere. Here r is the radial distance from that center, and K is a constant.What is the volume density r of the charge distribution?a) 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.)80. An infinitely long nonconducting solid cylinder of radius R has a nonuniform but cylindrically symmetrical charge distribution. The volume charge density is given by p(r) = c/r, where cis a positive constant having units C/m and ris the radial distance from the long central axis of the cylinder. (a) What is the charge in a section of the cylinder of length €? Write an expression for the electric field magnitude for (b) r R.
- 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 distance r from the common axis. The vertical axis scale is set by E, = 3.0 x 10° N/C. What is the linear charge density of the shell? 12.6 -Es r (cm) (a) (b) Number i -5.8 Units nC/mA nonconducting spherical shell has an inner radius A, an outer radius B, and a nonuniform charge density given by p(r) sindr where B and a are constants. r3 The inner spherical shell is surrounded with a concentric nonconducting spherical shell that has an inner radius B, outer radius C, and a uniform charge density such that the electric field for r> C is zero. What is the total charge contained in the inner spherical shell? b. What is the charge density in the outer spherical shell? c. What is the magnitude of the electric field for AProblem A nonconducting spherical shell of inner radius a=7.00cm and outer radius b=17.0cm is surrounded by a concentric conducting spherical shell of inner radius b and outer radius c=21.0cm, as shown in the figure. The nonconducting shell has a uniform volume charge density p-8.00uC/m3 and the conducting shell has no net charge. a) Find the total charge on the nonconducting spherical shell. QD nC b) Find the magnitude of electric field at a distance r=8.00cm E= kN/C c) Find the magnitude of electric field at a distance r=20.0cm E= N/C 9.Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere. a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p. b) Determine the electric field, E(r), for r > R (outside the sphere). c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere (r = R)? d) What is the energy stored in this electric charge configuration?A nonconducting spherical shell, with an inner radius of 4.0 cm and an outer radius of 6.0 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density r is the charge per unit volume, with the unit coulomb per cubic meter.For this shell r= b/r, where r is the distance in meters from the center of the shell and b = 3.0 mC/m2.What is the net charge in the shell?Y Part A A sphere has total charge Q=18 C and radius R. Letr be the radial distance measured from the center of the sphere. The sphere's charge is distributed in such a way that the volume charge density is proportional to the cube of r, that is p(r)=ar³ for some constant a. If the electric field magnitude is E = 39 N/C at r= R/2, what is E at r= 2R? k¹8.99 x 109 Nm²/C² 4700 Express your answer with the appropriate units. E = Submit Part B Submit Value ▾ Part C Value An infinitely long cylinder has uniform volume charge density and radius R. If the electric field magnitude is E = 39 N/C at r= R/2, what is E at r = 2R? r is the distance from the centeral axis of the cylinder. μà Submit HA Request Answer Value μA ← Request Answer Units C Units An infinitely big block of thickness 2R and uniform volume charge density extends infinitely in the z-y plane, and fills the region -R<<< R in the direction. If the electric field magnitude is E = 39 N/C at z = R/2, what is E at z = 22R? Sony ?…SEE MORE QUESTIONS