4. A spherically sym metric charge distribution has the following radial dependence for the volume charge...
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...
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...
Guided Problem 4 -Gauss's LawA solid, insulating sphere of radius a has a uniform charge density ρ and a total charge Q. Concentric with this sphere is an uncharged, conducting hollow sphere whose inner and outer radii are b and c as shown in the following figure. (a) Find the magnitude of the electric field in the regions: r<a, a<r<b, and r>c. (b) Determine the induced charge per unit area on the inner and outer surfaces of the hollow sphere.Solution scheme:...
A hollow spherical shell carries charge density 8 in a region a <r<b. where k is a constant. Find the electric field in the three regions (i) r< a (ii a < r< b,iir >b. Use Gauss's Law For the problem above with the charge distribution Find the potential at the center using infinity as your reference point. V(b)-V(a) =-1,E.dl
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -2q and the outer shell has a total charge of +4q. The total charge on the outer surface of the large shell is +2q. The radial component of the electric field in the region c <r < d is given by -2q/(4nε0r2). The total charge on...
A small conducting spherical shell with inner radius a and outer radius bis concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of-2g and the outer shell has a total charge of +3q. Select True or False for the following statements True The total charge on the inner surface of the large shell is zero. True The total charge on the outer surface of the large shell...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
A small conducting spherical shell with inner radius a and outer radius bis concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -19 and the outer shell has a total charge of +49. Select True or False for the following statements. ✓ The electric field in the region r <a is zero. The total charge on the inner surface of the large shell is +19. The...
A solid, insulating sphere of radius a has a uniform charge density of P and a total charge of Q. Concentric with this sphere is a conducting spherical shell with inner and outer radii are b and c, and having a net charge -3Q. (a) (5 pts.)Use Gauss's law to derive an expression for the electric field as a function of r in the regions r < a (b) (4 pts.) Use Gauss's law to derive an expression for the electric field...
Problem 9: A hollow non-conducting spherical shell has inner radius R1 = 8 cm and outer radius R2 = 17 cm. A charge Q =-35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1 < r < R2 that increases linearly with radius, where A = 24 uC/m4 .Part(a) Write an equation for the radial electric field in the region r < R1 in terms of Q.r, and Coulomb's...