Two capacitors are identical, except that one is empty and the other is filled with a dielectric (k=3.6). The empty capacitor is connected to a -11V battery. What must be the potential difference across the plates of the capacitor filled with a dielectric so that it stores the same amount of electrical energy as the empty capacity?
C=q/V C=kε°0)A/d E=q/(ε°)A
Estored=1/2qv = 1/2 cv^2
The Attempt at a Solution
I don't really know what to do. I'm guessing that there's a lack of information but however the part about the empty capacitor, that would mean Estored = 0 right? But even though I plug in something with zero and solve for C, C would be zero which would mean 0=q/V or the other equation and if I solve for a variable it would be just zero.
I'm guessing my logic is probably wrong but I'm really lost. I basically have only 2 known variables from the question.
Any help would be awesome!