A non-conducting sphere of radius R=0.300m has a total charge q-100µC that is evenly distributed throughout its volume. a) Find the charge within a radius of r=0.100m. Hint: first find the volume charge density p. b) Find the electric field strength at r=0.100m. c) Find the charge within a radius of r-0.200m. d) Find the electric field strength at r=0.200m. e) Find the charge within a radius of 1-0.300m. f) Find the electric field strength at r-0.300m. g) How does E change with increasing radius? R

The volume charge density ρ for a spherical charge distribution of radius R= 6.00 mm is not uniform. (Figure 1) shows ρ as a function of the distance r from the center of the distribution. a)Calculate the electric field at r = 1.00 mm.    b)Calculate the electric field at r = 1.00 mm.

A shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R)    for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere? d. Graph the electric field as a function of r between r = 0 and r =0.4025 m.

Assume you have a line of positive charge with a linear charge density of 10.0 µC/m. Assume that this line of charge is infinitely long and lies on the z-axis (which is perpendicular to both the x- and y-axes). a) Find the strength and direction of the electric field associated with this line of charge at (0.5 m, 0 m, 0 m) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z b) Find the strength and direction of the electric field associated with this line of charge at (0 m, 0.5 m, 5 m) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z c) Find the strength and direction of the electric field associated with this line of charge at (2.0 m, 0 m, Om) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z