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In a MOS capacitor with an oxide layer thickness of $10\: nm,$ the maximum depletion layer thickness is $100\: nm.$ The permittivities of the semiconductor and the oxide layer are $\varepsilon_{s}$ and $\varepsilon_{ox}$ respectively. Assuming $\varepsilon_{s}/\varepsilon_{ox} = 3,$ the ratio of the maximum capacitance to the minimum capacitance of this MOS capacitor is ________.
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