Please show your work 1 A solid sphere of radius 44 cm has a

Please show your work

1. A solid sphere of radius 44 cm has a total positive charge of 30 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at 105 cm from the center of the sphere.

E= ----------- N/C

2. A 19 g piece of Styrofoam carries a net charge of -7.4 µC and floats above the center of a large horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area on the plastic sheet?

= ------------ C/m^2

3. Consider a long cylindrical charge distribution of radius R = 14 cm with a uniform charge density of = 15 C/m³. Find the electric field at a distance r = 31 cm from the axis.

E = ------------ N/C

Solution

1. The elctric field at 105 cm from the ceter of the sphere is

E=kq/r^2 = 2.44×10^5 N/C