An air-filled capacitor with C = 4.00 uF is connected to a 6.00 volt battery. While the capacitor remains connected to the battery, a dielectric with K = 2.00 is inserted, completely filling the volume between the plates. What is the energy stored in the capacitor after the dielectric has been inserted? I know the answer is 144 uJ, but am unsure of the step-by-step solution to get this number.

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An air-filled capacitor with C = 4.00 uF is connected to a 6.00 volt battery. While the capacitor remains connected to the battery, a dielectric with K = 2.00 is inserted, completely filling the volume between the plates. What is the energy stored in the capacitor after the dielectric has been inserted?

I know the answer is 144 uJ, but am unsure of the step-by-step solution to get this number.

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