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? (b) Inside the capacitor (for r

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter5: Electric Charges And Fields
Section: Chapter Questions
Problem 67P: Consider an electron that is 1010 m from an alpha particle (q=3.21019C) . (a) What is the electric...
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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?

(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.

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