Question

The circuit sketched below contains a switch, an ideal battery with an emf of 13.5 volts,...

The circuit sketched below contains a switch, an ideal battery with an emf of 13.5 volts, a 19 MΩΩ resistor, and an air-filled capacitor. The capacitor has parallel circular plates of radius 5.2 cm separated by 1 mm. At time t=0 the switch is closed to begin charging the capacitor. You may assume that the electric field between the plates is uniform.

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(A) Calculate the capacitance of the capacitor. (Think back to Ch 8!)  pF
(B) What is the time constant for this RC circuit? (DC circuits: Ch 10!)  μμs
(C) How much current is flowing in the circuit when t=40 μμs? (Ch 10 again! Think about the maximum current and then how will the current change with time?)  μμA
(D) What is the total displacement current flowing through the capacitor when t=40 μμs? (Don't overthink this one!)  μμA
(E) What is the magnitude of the induced magnetic field between the capacitor plates at a radial distance 3.12 cm from the center when t=40 μμs? (How much of the displacement current is relevant for 3.12 cm from the center?)  pT

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