What is the Capacitance of a Capacitor When a Conductor is Inserted?

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Homework Statement




An isolated capacitor with capacitance C = 1 µF has a charge Q = 22 µC on its plates.
Now a conductor is inserted into the capacitor. The thickness of the conductor is 1/3 the thickness of the capacitor and is centered in between the plates of the capacitor.

What is the capacitance of the capacitor with the conductor in place?

Homework Equations



Q = C / V

V = E d


The Attempt at a Solution



I know that since the capacitor is a conductor it makes the distance between the two plates smaller which means that the capacitance should therefore increase. I thought that since we now had two distances that were each 1/3 the original distance the capacitance would increase by a factor of 6 however this answer does not work. Can anyone help me please?!?
 
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