Physics 230 Capacitor exercise with dielectrics
Question: How do we get the biggest capacitance if we have enough dielectric to fill half of the capacitor volume? (It is a parallel plate capacitor.)
The two main choices look like this:
In the first case the capacitor may be modelled as two capacitors in series.
The individual capacitances
Thus the total capacitance is given by:
In the second case our model is two capacitors in parallel. The individual capacitances are
So the total capacitance is
To find which is the biggest we must compare and Is
Yes! Thus the capacitor on the right has the greatest capacitance.