•• The capacitors referred to in this problem have only empty space between the plates. (a) Show that a parallel-plate ca- pacitor has a displacement current in the region between its plates that is given by I, = C dV/dt, where C is the capacitance and V is the potential difference between the plates. (b) A 5.00-nF parallel- plate capacitor is connected to an ideal ac generator so the potential difference between the plates is given by V = V, cos ot, where Vo = 3.00 V and w = 500T rad/s. Find the displacement current in the region between the plates as a function of time. 18

•• The capacitors referred to in this problem have only empty space between the plates. (a) Show that a parallel-plate ca- pacitor has a displacement current in the region between its plates that is given by I, = C dV/dt, where C is the capacitance and V is the potential difference between the plates. (b) A 5.00-nF parallel- plate capacitor is connected to an ideal ac generator so the potential difference between the plates is given by V = V, cos ot, where Vo = 3.00 V and w = 500T rad/s. Find the displacement current in the region between the plates as a function of time. 18

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

•• The capacitors referred to in this problem have only
empty space between the plates. (a) Show that a parallel-plate ca-
pacitor has a displacement current in the region between its plates
that is given by 1, = C dV/dt, where C is the capacitance and V is
the potential difference between the plates. (b) A 5.00-nF parallel-
plate capacitor is connected to an ideal ac generator so the potential
difference between the plates is given by V = V, cos ot, where
V = 3.00 V and w = 5007 rad/s. Find the displacement current in
the region between the plates as a function of time.
18

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