Question #a71ed

1 Answer
May 30, 2016

#2.598" uf"#, rounded to three decimal places

Explanation:

We know that capacitance of a parallel plate capacitor is given by the expression
#C=epsilon A/d#
Where #epsilon# is absolute permittivity of the dielectric, #A# is area of plate overlap and #d# is the distance between the plates.
Absolute permittivity of air#=1.0006#
Absolute permittivity of polystyrene#=2.6#
Therefore,
#C_"polystyrene"=C_"air"xx"Absolute permittivity of polystyrene"/"Absolute permittivity of air"#
Inserting various values
#C_"polystyrene"=1 xx2.6/1.0006=2.598" uf"#, rounded to three decimal places

Average dielectric constant of polystyrene as #2.6#, Ref