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)
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)
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 35P
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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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