A varactor is a circuit element that stores charge depending on the voltage applied to it in a nonlinear manner. The total charge stored on the device after being charged for a long time can be modeled by using the simple approximation:

where is the total stored charge in coulombs, is the voltage applied to the device in volts, and and are arbitrary parameters dependent on the manufacturing of the device measured in coulombs per volt and volts, respectively. The device initially has no charge stored and a constant 6.6 volts is applied to the device. If the device finished charging after , what is the average power needed to charge the device in ? Let and .

(Hint: total energy is equal to voltage multiplied to charge)