Chapter 6: Problem 8
A parallel-plate capacitor is made using two circular plates of radius \(a\), with the bottom plate on the \(x y\) plane, centered at the origin. The top plate is located at \(z=d\), with its center on the \(z\) axis. Potential \(V_{0}\) is on the top plate; the bottom plate is grounded. Dielectric having radially dependent permittivity fills the region between plates. The permittivity is given by \(\epsilon(\rho)=\epsilon_{0}\left(1+\rho^{2} / a^{2}\right) .\) Find \((a) \mathbf{E} ;(b) \mathbf{D} ;(c) Q ;(d) C .\)
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.