Suppose that a circular parallel-plate capacitor has radius R = 4.5 cm and a plate separation of d = 6 mm. Starting from some time in the past, a potential difference V = V0 tanh[t] is applied across the plates, where V0 = 200 V. (a) What is the capacitance of the capacitor? (b) What is the maximum charge stored on the capacitor plates? (c) What happens to the electric field over time? Explain.
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Suppose that a circular parallel-plate capacitor has radius R = 4.5 cm and a plate separation of d = 6 mm. Starting from some time in the past, a potential difference V = V0 tanh[t] is applied across the plates, where V0 = 200 V.
(a) What is the capacitance of the capacitor?
(b) What is the maximum charge stored on the capacitor plates?
(c) What happens to the electric field over time? Explain.
(d) What is the magnetic field induced by this potential inside of the circular plates?
(e) What is the magnetic field induced by this potential outside of the circular plates?
(f) Plot the magnetic field as a function of position, for a given time.
(g) Plot the magnetic field as a function of time, for a given position.
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