2) For a spherical charge distribution in the air: po (02 – r2), when r <a...
G1. What is E for a spherical shell of charge p=0 for r < R1, p = po for R; <r < R2 and • P=0 for r > R2? R2 R1 Po What is the electric field for an infinitely long cylindrical pipe, inner radius Ry, outer radius R, and with p=Ar2 in the pipe wall between R, and R,? R2 R1 For problem G1 what is V in each region of space?
2. A charge distribution with spherical symmetry has density PoR (1) for 0< R< a, and is zero for R spherical variable. Determine a. Here po and a are constants, and R is the (a) (20 points) E everywhere. (b) (20 points) the potential, V, everywhere.
The density of the charge distribution with spherical symmetry capability is: OSTSR- Por Py = R Py = 0, r>Re Find Ē at all point (use gauss law)
TD P4. A charged sphere of radius R has a non-uniform charge distribution given by PPo co where R- 2.50 cm, and Po-3.40 nC/cm'. (a) Determine the electric field forr< R. (b) Determine the electric field forr > R.
2 BALL AND PLANE Consider a spherical shell of radius R and charge per unit area σ1 sitting at the origin. There is also an infinie plane parallel to the x- y plane sitting at z-zo with charge per unit area Oz. We will take Zo > R. Compute the electric field at the following locations: 2.1 10 POINTS The origin. 2.2 15 POINTS The point (xo,0,0) with xo> R 2.3 15 POINTS The point (X1, 0,21) with 0 <...
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 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
5. A thick, nonconducting spherical shell with a total charge of Q distributed uniformly has an inner radius R1 and an outer radius R2. Calculate the resulting electric field in the three regions r<RI, RL<r<R2, and r > R2
(2) The circuit is at steady state for t<0. Find v(t) for t>0. Answer t=0 ZF Navt)14 T
Gauss law and electrical force Given the following charge distribution in 3-dimensinal space: in [C/m3] and a 2 meters otherwise A) (15 points) Find the electric field intensity forr < a and for r>a B) (10 points) what is the force experienced by an electron located at a distance 4 meters away from the center of this charge distribution?