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For the variable dielectric displacement sensor shown, assuming &2 = 2 &, derive and Calculate the ratio of capacitance C/Co between the two plates

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For the variable dielectric displacement sensor shown, assuming &2 = 2 &, derive and Calculate the ratio of capacitance C/Co between the two plates at distances (x = 1/4, x = 1/2, x = 1). Where Co is the capacitance of the sensor when x=0, and C is the capacitance of the sensor when x varies under the effect of stimulus. Draw C/Co as function of (x/) and check the linearity of this sensor? X E1 82

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