C = κεoA/d Q = C V I = ∂Q/∂t W = (1/2) C V2 V = Vo e(-t/RC) Q = C Vo e(-t/RC) I = (Vo/R) e(-t/RC) where C is capacitance, κ is the dielectric constant, εo is the permittivity of free space, A is the area of the capacitor plates, d is the plate separation, Q is the charge, V is the voltage, Vo is the initial voltage, I is the current, W is the stored energy, t is time, and R is the load resistance. |
Structure of a conventional supercapacitor. There are separate ionic liquids that are negatively and positively charged. One disadvantage of current materials is that these ionic liquids decompose at voltages above a few volts.(Via Wikimedia Commons, modified). |
Principle | Type | kJ/gram |
Capacitor | Supercapacitor | 0.07 |
Electrochemical | Lead Acid Battery | 0.1 |
Electrochemical | NiMH Battery | 0.22 |
Mechanical | Flywheel | 1 |
Electrochemical | Lithium Battery | 2.5 |
Chemical (Combustion) | Ethanol | 30 |
Chemical (Combustion) | Gasoline | 46.9 |
Chemical (Combustion) | Hydrogen | 143 |
"Traditional methods for the fabrication of micro-supercapacitors involve labor-intensive lithographic techniques that have proven difficult for building cost-effective devices, thus limiting their commercial application... Instead, we used a consumer-grade LightScribe DVD burner to produce graphene micro-supercapacitors over large areas at a fraction of the cost of traditional devices. Using this technique, we have been able to produce more than 100 micro-supercapacitors on a single disc in less than 30 minutes, using inexpensive materials."[2]
UCLA micro-supercapacitors, as produced by Kaner and El-Kady's DVD burner process (UCLA Photograph.)[2] |