Question #7a264

1 Answer
Feb 26, 2017

0.0025m, rounded to three decimal places.

Explanation:

Size of penny is 0.75 inches (19.05 mm) in diameter.
![wikimedia.org/wikipedia/commons](useruploads.socratic.org)
Capacitance C of a parallel plate capacitor as shown in the figure below is given by the expression
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C=(kepsilon_0A)/d
where epsilon_0=8.854xx10^-12Fcdot m^-1 is permittivity of space and k is relative permittivity of the dielectric material between the plates. k=1 for free space, k>1 for all media, ~~ 1 for air.

Assuming that the pennies are kept in air, inserting given values we get
10^-12=(8.854xx10^-12xx[pi(19.05/(2xx1000))^2])/d
d=8.854xxpi(19.05/(2xx1000))^2
d=0.0025m, rounded to three decimal places.