33_What is a parallel plate capacitor
Channel: P6 Scholars Academy
Date: 26/08/2020

what is a spherical capacitor? Derive an expression for its capacitance.
 Spherical capacitor. Aspherical capacitor consists of two concentric spherical shells of inner and outer radii a and b. the two shells carry charges -Q and +Q respectively. Since the electric field inside a hollow conductor is zero, so 𝐸 ⃗=0 for r  a. Also, the field is zero outside the outer shell, i.e., 𝐸 ⃗=0 for r  b. A radial field 𝐸 ⃗ exists in the region between the two shells due to the charge on the inner shell only.
 To determine the electric field at any point P at distance r from the center, consider a concentric sphere of radius r as the gaussian surface. Using gauss’s theorem,