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With a vacuum between the non-parallel plates of a capacitor, thepotential diffe

ID: 1760424 • Letter: W

Question

With a vacuum between the non-parallel plates of a capacitor, thepotential difference is ((0.0456 m-1)Q)/0 .

Calculate the capacitance of this capacitor if the volume betweenthe plates is completely filled with neoprene, a dielectric ofpermittivity 59.3 pF/m, and there is no change in symmetry from thevacuum case.

Step 1: In the expression above for the potential difference, Isimply replace the symbol 0 with the symbol ___, which isgiven above to have the numerical value of __________ F/m.

Step 2: Now I substitute the changed expression for the potentialdifference into this “ONE EQUATION USED” to find thecapacitance of the neoprene-filled capacitor:

Explanation / Answer

with vacuum, the potential difference V = ((0.0456m-1)Q)/0 . so capacitance C0 = Q/V = 0/0.0456m-1 with dielectric C = /0.0456, where = 59.3 pF/m, C = (59.3 pF/m)/0.0456 m-1 = 1300 pF

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