A parrallel plate capacitor has circular cross-section with a radius R and has a charge that varias Q(t). Take the spacing between the plates to be small so that you can assume the electric field is uniform for r < R and vanishes for r>R. Answer in terms of Q(t) and its derivatives. (a) What is the magnitude of the electric field inside the capacitor as a function of time? (E(t), find the surface charge density to find the electric field) (b) Inside the capacitor (for r

A parrallel plate capacitor has circular cross-section with a radius R and has a charge that varias Q(t). Take the spacing between the plates to be small so that you can assume the electric field is uniform for r < R and vanishes for r>R. Answer in terms of Q(t) and its derivatives. (a) What is the magnitude of the electric field inside the capacitor as a function of time? (E(t), find the surface charge density to find the electric field) (b) Inside the capacitor (for r

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...

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A parrallel plate capacitor has circular cross-section with a radius R and has a charge that varias Q(t). Take the spacing between the plates to be small so that you can assume the electric field is uniform for r < R and vanishes for r>R. Answer in terms of Q(t) and its derivatives.(a) What is the magnitude of the electric field inside the capacitor as a function of time? (E(t), find the surface charge density to find the electric field) (b) Inside the capacitor (for r<R), what is the magnetic field as a fucntion of time at a distance r from the center? Use Ampere-Maxwel law with displacement current. E(t) is uniform inside and zero outside.
A parallel plate capacitor has circular cross-section with a radius of R and has a charge that varies as Q(t) = Q0 e-at, where Q0 and a are constants. Take the spacing between the plates to be small so that you can assume the electric field is uniform for r < R and vanishes for r > R. a) What is the magnitude of electric field inside the capacitor as a function of time? (Hint: first find the surface charge density and then the electric field from that)
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