Miniature chip capacitors are often constructed by building up successive layers of conductors and..

Miniature driblet capacitors are repeatedly false by building up successive layers of regulators and dielectric (typically a ceramic material) and then interconnecting the regulators, as shown in Figure P1.5. In these stratagems, the lumpishness : deviative dimensions affinity is low sufficient that we may use the creative congruous dish capacitor forethought after a while amipotent results. If the dielectric lumpishness between successive regulator layers is h, then the capacitance (per ace area) of the stratagem is

Suppose that we are allowed a sum capacitor lumpishness of 3 mm. Each metal layers is 0.1 mm solid. We keep a exquisite of dielectrics after a while relative dielectric fixed ranging from 1 to 100. Unfortunately, eventually, the breakdown arena of the dielectrics varies after a while k as

and the capacitor must be potent to after a whilestand 100 V. Find the completion attainpotent capacitance per ace area, along after a while the values of n and k to terminate this completion capacitance.