An infiinitely long solid conducting cylindrical shell ofradius a = 4.4 cm and negligible thickness is positioned with itssymmetry axis along the z-axis as shown. The shell is charged,having a linear charge density ?inner = -0.36 µC/m. Concentric withthe shell is another cylindrical conducting shell of inner radius b= 17 cm, and outer radius c = 19 cm. This conducting shell has alinear charge density ? outer = 0.36µC/m.
1)What is Ex(P), the x-component of theelectric field at point P, located a distance d = 9.4 cm from theorigin along the x-axis as shown?
2) What is V(c) â V(a), the potential differencebetween the the two cylindrical shells?
3) What is C, the capacitance of a one meter length ofthis system of conductors?
The magnitudes of the charge densities on the inner and outershells are now changed (keeping ?inner = -?outer) so that theresulting potential difference doubles (Vca,new =2Vca,initial).
