Chapter 23, Problem 032 that is a function of radial distance r from the cylinder axis: ρ = AP. For A long, nonconducting, solid cylinder of radius 4.5 cm has a nonuniform volume charge density A 1.9 uC/m5, what is the magnitude of the electric field at (a)r 1.8 cm and (b)r- 6.3 cm (a) Number (b) Number Units Units
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- A 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 AnswerA non-uniformly charged insulating sphere has a volume charge density p that is expressed as p= Br where B is a constant, and r is the radius from the center of the sphere. If the, the total charge of the sphere is Q and its maximum radius is R. What is the value for B? Sol. By definition, the volume charge density is expressed infinitesimally as p= where in is the infinitesimal charge and is the infinitesimal volume. so, we have P = dq/ = B so we can write this as dq = B dV But, dV = dr By substitution, we get the following dq = 4B dr Using Integration operation and evaluating its limits, the equation, leads to Q = Rearranging, we get B = 4)A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p= Br where B is a constant, and r is the radius from the center of the sphere. If the, the total charge of the sphere is Q and its maximum radius is R. What is the value for B? Sol. By definition, the volume charge density is expressed infinitesimally as p= where in is the infinitesimal charge and is the infinitesimal volume. so, we have p = dq/ So we can write this as dq = B dV %3D But, dV = dr
- A non-uniformly charged insulating sphere has a volume charge density p that is expressed as p= Br where B is a constant, and r is the radius from the center of the sphere. If the, the total charge of the sphere is Q and its maximum radius is R. What is the value for B? Sol. By definition, the volume charge density is expressed infinitesimally as p= where in is the infinitesimal charge and is the infinitesimal volume. So, we haye p = dq/ So we can write this as dq = B dV But, dV = dr By substitution, we get the following dq = 4BT dr Using Integration operation and evaluating its limits, the equation, leads to Q = BT Rearranging, we get B = /( TA 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 = 3.4 µC/m³, what is the magnitude of the electric field at (a) r = 2.3 cm and (b) r = 8.9 cm. (a) Number i 1.1685819 (b) Number 9.063739132 Units Units N/C or V/m N/C or V/mThe charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs 1.0 m; p(r)= Po(1-4r/3) For r> 1.0 m; p(r)= 0, where r is in meters. What is the value of r in meters for which the electric field is maximum?
- 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?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 thick insulating cylindircal shell of inner radius a-1.5R and outer radius b=5.1R has a uniform charge density p. What is the magnitude of the electric field at r=9.4 R ? Express your answer using one decimal place in units of PR :?
- 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?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 solid nonconducting sphere of radius R = 5.9 cm has a nonuniform charge distribution of volume charge density p= (15.3 pc/m³)r/R. where r is radial distance from the sphere's center. (a) What is the sphere's total charge? What is the magnitude E of the electric field at (b) r=0, (c) r-R/3.0, and (d) r-R? (a) Number (b) Number (c) Number (d) Number Units Units Units Units [[[[