- #1
mitleid
- 56
- 1
An insulating spherical shell of the external radius b and the internal radius a is charged uniformly with volume charge density p. What force F does it produce on a uniformly charged thin rod, as shown in figure2? Rod's total charge is Q and length 2a. The rod is arranged radially from the center of the sphere, the distance from the rod's center to the center of the spherical system is r.
E[tex]\bot[/tex] = [tex]\frac{\sigma}{\epsilon_{o}}[/tex]
E = [tex]\frac{q}{r^{2}}[/tex](Ke)
The goal here is to find the net force acting upon the rod. It's obvious the rod lies parallel with the radial electric field produced by the sphere, so the field the rod produces will not affect the field from the sphere (and thereby the force acting upon it). Though the fields may interact outside the radial line of the rod, but I'm not sure if that will determine the force (hunch says yes...).
The force at any point along the rod will differ dependent upon its distance from the outer surface of the sphere where the charge is maintained.
Any advice in regards to this problem?
E[tex]\bot[/tex] = [tex]\frac{\sigma}{\epsilon_{o}}[/tex]
E = [tex]\frac{q}{r^{2}}[/tex](Ke)
The goal here is to find the net force acting upon the rod. It's obvious the rod lies parallel with the radial electric field produced by the sphere, so the field the rod produces will not affect the field from the sphere (and thereby the force acting upon it). Though the fields may interact outside the radial line of the rod, but I'm not sure if that will determine the force (hunch says yes...).
The force at any point along the rod will differ dependent upon its distance from the outer surface of the sphere where the charge is maintained.
Any advice in regards to this problem?