The capacitance of a parallel plate capacitor is given by
where is the capacitance,
is the permittivity of the dielectric material,
is the area of the plates and
is the separation of the plates.
Here is also the thickness of the dielectric material between the plates.
(a) Since , if the thickness of the dielectric is doubled, the capacitance becomes half.
(b) Since , if the effective plate is halved, the capacitance becomes half.
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