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Consider the use of capacitors as memory cells. A charged capacitor would represent a one and an uncharged capacitor a zero. Suppose these capacitors were fabricated on a silicon chip and each has a capacitance of 30 femto-farads (1 fF = 10−15 F.) The dielectric filling the space between the parallel plates has dielectric constant K = 25 and a dielectric strength of 1.0 × 109V/m. (a) If the operating voltage is 1.5 V, how many electrons would be stored on one of these capacitors when charged? (b) If no safety factor is allowed, how thin a dielectric layer could we use for operation at 1.5 V? (c) Using the layer thickness from your answer to part (b), what would be the area of the capacitor plates?
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