a) I have a slab of some insulator with an unknown permittivity c. To determine c experimentally I go to the lab and insert the slab in between the plates of a capacitor whose plate spacing exactly matches the width of the slab. I observe that the time constant of exponential decay of the capacitor voltage in an RC circuit that I construct increases by 50% when the slab is inserted to replace the air spacing. Determine e in terms of o. Explain your reasoning carefully. b) Repcat (a) if the slab width is only three quarters of the plate separation so that when the slab is inserted betwcen the plates we still have 25% air filling. c) I have a rod of some solid with an unknown permeability u. To determine u experimentally I go to the lab and insert the rod within a solenoid of many turns having a diameter exactly matching the diameter of the rod. I observe that the time constant of exponential decay of the solenoid current in an RL circuit that I construct decreases by 0.05% when the rod is inserted to replace the air core of the solenoid. Determine u in terms of Ho. Is the rod diamagnetic or paramagnetic? Explain.