A long cylindrical capacitor is made of two concentric cylindrical metal plates with radii . The space between the cylindrical metal plates is filled with dielectric materials having dielectric constants in the region , but for , where is the radial cylindrical coordinate and is a fixed radius where the two dielectric materials meet. The two metal plates have the potential difference .
(a) Find the capacity of the system per length.
(b) Find the density of free charges in the system and the equivalent bound polarized charges.
(c) Find the electrostatic force acting on the plates per length.
Uniformly charged nonconducting shell with radius carries total charge . Find the net force the northern hemisphere exerts on the southern one.
The problems are due Monday January 27 2025 at 20:00