1. The dielectric constant of SiO2, Si3N4 and Ta2O5 are about 3.9, 7.6, and 25 respectively. What is the capacitance ratio for the capacitors with Ta2O5 and oxide/nitride/oxide dielectrics for the same thickness, provided the oxide/nitride/oxide has thickness ratio 1:1:1 for the oxide to the nitride?
2. In problem 1, if a material called Barium Strontium Titanate with dielectric constant of 500 is chosen to replace Ta2O5, calculate the area reduction ratio to maintain the same capacitance if the two films have the same thickness.
3. In problem 1, calculate the equivalent thickness of the Ta2O5 in terms of SiO2 thickness if both have the same capacitance. Assume the actual thickness of Ta2O5 is 3t.