Consider a parallel plate capacitor with capacitance1F that, initially, when fully charged up, has an electric field with magnitudeE0=100V/m (assume the capacitor is disconnected from any power supplies after it is charged). At time t=0 the capacitor is hooked to a 1Mresistor.

1. Sketch a plot of the electric field between the plates versus time.
2. What is the magnitude of the electric field between the plates at time t=2s?
3. Sketch a plot of the fraction of energy initially stored in the capacitor that has been dissipated at time t.
4. What fraction of the energy initially stored in the capacitor has dissipated at t=2s?