•• 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

University Physics Volume 2
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Chapter14: Inductance
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Problem 66P: The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F ,...
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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
Transcribed Image Text:•• 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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