A large capacitor in an air conditioner is typically connected to the potential difference provided to your house (120 V). Although capacitors like this are usually cylindrical, model this one as a parallel plate capacitor with square plates separated by 2.0 mm. If you want your capacitor to store 0.25 J of energy, what is the area of the capacitor plates?

Explanation:

Formula for energy stored in the capacitor is as follows.

               E =

or,          C =

The given data is as follows.

                  E = 0.25 J,        V = 120 V

Putting the given values into the above formula as follows.

                   C =

                       =

                       = F

Also,          C =

or,               A =

Putting the given values into the above formula as follows.

              A =

                  =

                  = 7846.82

Thus, we can conclude that area of the capacitor plates is 7846.82 .