The electric field of a certain charge distribution (expressed in spherical coordinates) is E =-r-er 4...
2. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of radius R is found to be V(r, 9) = -E, cose (--) where E, is a constant and r and 0 are the spherical radial and polar angle coordinates, respectively. This electric potential is due to the charges on the conductor and charges outside of the conductor 1. Find an expression for the electric field inside the spherical conductor. 2. Find an expression for...
A spherical system has electric field E(r) = E(0)exp(-r/R) E(0) and R are constant, r is distance to the center of sohere. Using Gauss law in differential form find electrostatic potential and volume charge density. E. Potential is 0 at infinity. Answer is expected in the form of equation (no numbers required)
Consider a spherical shell with radius R and surface charge density: The electric field is given by: if r<R E, 0 if r > R 0 (a) Find the energy stored in the field by: (b) Find the energy stored in the field by: Jall space And compare the result with part (a)
A spherical ball of charge has radius R and total charge Q. The electric field strength inside the ball(r ? R) is E(r)=Emax(r^(4)/R^(4)). 1) What is Emax in terms of Q and R? 2) Find an expression for the volume charge density ?(r) inside the ball as a function of r.
3. (20) A spherically symmetric charge distribution creates the following electric field (2) E E,r with 20 r r < a for 4meoa3 (3) E,= Q 4mor2 for r> a where Q and a are positive constants of suitable units. (a) Draw a graph of E, for 0 <r3a; please label your graph clearly (b) Calculate the charge distribution that generates this electric field. (c) Draw a graph of the charge distribution for 0 <r< 3a; please label your graph...
Consider a spherical charge distribution which has a constant density p from r = 0 out tor = a and is zero beyond. Find the electric field for all values of r, both less than and greater than a. Is there a discontinuous change in the field as we pass the surface of the charge distribution at r = a? Is there a discontinuous change at r = 0? (Please work in cgs units if possible)
A spherically symmetric charge distribution produces the electric field E⃗ =( 4600 r2)r^N/C, where r is in m. What is the electric field strength at r = 15.0 cm ? What is the electric flux through a 30.0-cm-diameter spherical surface that is concentric with the charge distribution? How much charge is inside this 30.0-cm-diameter spherical surface?
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 spherically symmetric charge distribution produces the electric field E⃗ =(250/r)r^N/C, where r is in m. What is the electric field strength at r = 20.0 cm? What is the electric flux through a 15.0-cm-diameter spherical surface that is concentric with the charge distribution?
A spherical charge distribution has a density p that is constant from r = 0 out to r = R and is zero beyond. What is the electrical field for r < R? What is the electric field for r > R? Please use Gauss’ Law to solve and answer this question in details, thank you!