kgigs6
Mar8-09, 08:41 PM
1. The problem statement, all variables and given/known data
Two capacitors are identical, except that one is empty and the other is filled with a dielectric (κ = 3.20). The empty capacitor is connected to a 11.0-V battery. What must be the potential difference across the plates of the capacitor filled with a dielectric such that it stores the same amount of electrical energy as the empty capacitor?
2. Relevant equations
q = cV
C = EoA/d
C = kEoA/d
U = 1/2qV
U = 1/2cV^2
3. The attempt at a solution
I'm not sure which form of the equation to use exactly. I know that since everything in the capacitors is equal except the dielectric I should be able to set them equal to each other some how and since I only know the voltage of the battery most of the terms will cancel out but I'm unsure of where to start. If someone could point me in the right direction that would be great!
Two capacitors are identical, except that one is empty and the other is filled with a dielectric (κ = 3.20). The empty capacitor is connected to a 11.0-V battery. What must be the potential difference across the plates of the capacitor filled with a dielectric such that it stores the same amount of electrical energy as the empty capacitor?
2. Relevant equations
q = cV
C = EoA/d
C = kEoA/d
U = 1/2qV
U = 1/2cV^2
3. The attempt at a solution
I'm not sure which form of the equation to use exactly. I know that since everything in the capacitors is equal except the dielectric I should be able to set them equal to each other some how and since I only know the voltage of the battery most of the terms will cancel out but I'm unsure of where to start. If someone could point me in the right direction that would be great!