Chapter6: Gauss's Law
Section: Chapter Questions
Problem 94CP: A spherical lubber balloon carries a total charge Q distributed uniformly over its surface. At r=0 ,...
Related questions
Question
Transcribed Image Text:(a) Write down the integral and differential forms of Gauss' law in a dielec-
tric, defining all quantities used.
(b) A parallel plate capacitor is completely filled with a non-conducting
dielectric. Show that the electric displacement, D, is uniform between
the plates and calculate its value. (You may assume that the plates each
have area A and are separated by a small distance d. Each plate carries
a surface charge density o C/m2.)
(c) The dielectric has a non-uniform relative permittivity
K(x) = ax + b
where a and b are constants and x is the perpendicular distance from one
plate. Using Gauss' law, show that the electric field between the plates
satisfies
Eo
E(x) =
K (x)
where Eo is a constant. Find the value of Eo.
(d) Show that the voltage across the capacitor is given by
Eo
V:
In
b.
and calculate the capacitance.
(e) Find the volume polarization charge density in the dielectric.
til
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you