Problem 3: In a certain region, a charge distribution exists that is spherically symmetric but nonuniform....
Consider a charged, non-conducting sphere with outer radius ? that carries a nonuniform, but spherically symmetric charge distribution with charge density ?(?). (a) Find the electric field at the surface of the sphere if the charge density is given by: ?(?) = ?0 (3 − ?/? ) where ? is the distance from the center of the sphere and ?0 is a constant with units of C/m^3 .
Only part f) please! 4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density ρ ρ(r) If r > R where y is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r < R. Hint: if the charge distribution is...
4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density ρ: 0 if r R where γ is a constant a) What units must the constant γ have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r R. (Hint: if the charge distribution is spherically symmetric, what can you say...
A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows: ρ(r)=ρ0(1−r/R) for r≤R ρ(r)=0 for r≥R where ρ0=3Q/πR3 is a positive constant. Part A Find the total charge contained in the charge distribution. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part B Obtain an expression for the electric field in the region r≥R. Express your answer in terms of some or all of...
please re do to get correct answer 4/3/2019 Exam 2 - Page 5 of 7 General Physics II 3. (20 points) A nonuniform, but spherically symmetric, distribution of charge has a charge density, p(r) given as follows; o(r) (Po(1%) for r < R for r 2 R , and R is the radius of the charged sphere. wherePo (a) (8 points) Show that po by integrating the charge density over the volume of the distribution. de torni apo Vrar l...
4. A spherically sym metric charge distribution has the following radial dependence for the volume charge density ρ 0 if r > R where γ is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin. c) Use the integral form of Gauss's law to determine the electric field in the region r < R. (Hint: if the charge distribution is spherically symmetric, what...
How much charge is inside this 40.0-cm-diameter spherical surface? A spherically symmetric charge distribution produces the electric field E (250/ r ) where r is in m. N/C,
4. A region of charged matter has the spherically-symmetric, positive, volume charge density shown below. Use Gauss' Law to determine an expression for the magnitude of the electric field at a/2 Rddlius of )ur r sa spherical charged p(r)0 120 where p,, . πα Answer Qenci = Q
part 1 of 3 Consider a solid insulating sphere of radius b with nonuniform charge density p = ar, where a is a constant. Find the charge contained within the radius r<b as in the figure. The volume element dV for a spherical shell of radius r and thickness dr is equal to 47 r2 dr. part 2 of 3 If a = 5 x 10-6 C/m' and b = 1 m, find E at r = 0.6 m. The...
3rd Question Consider a solid insulating sphere of radius b with nonuniform charge density ρ-ar, where a is a constant. Find the charge contained within the radius r< bas in the figure. The volume element dV for a spherical shell of radius r and thickness dr is equal to 4 π r2 dr.