It has only been fairly recently that 1.0 F capacitors have been readily available. A typical 1.0 F capacitor can withstand up to 5.00  V. To get an idea why it isn't easy to make a 1.0 F capacitor, imagine making a 1.0 F parallel plate capacitor using titanium dioxide (κ = 90.0, breakdown strength 4.00 kV/mm) as the dielectric. 

(a) Find the minimum thickness of the titanium dioxide such that the capacitor can withstand 5.00 V. 

(b) Find the area of the plates so that the capacitance is 1.0 F.