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 V, = 3.00 V and w = 5007 rad/s. Find the displacement current in the region between the plates as a function of time. %3D %3D

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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
V, = 3.00 V and w = 5007 rad/s. Find the displacement current in
the region between the plates as a function of time.
Transcribed Image Text: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 V, = 3.00 V and w = 5007 rad/s. Find the displacement current in the region between the plates as a function of time.
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