You have two parallel plate capacitors, C 1a = 10 nF and C 2a = 20 nF, each with the same area of 2 m^2 that is filled with a dielectric material that is 1 mm thick. a) If the capacitors are connected in series vs parallel, which provides more total capacitance? b) What is the difference in total energy if the capacitors are connected in series vs. parallel? c) What dielectric material would you use in order to make the total capacitance of the capacitors connected in series equal to if they were connected in parallel?

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You have two parallel plate capacitors, C 1a = 10 nF and C 2a = 20 nF, each with the same area of 2 m^2 that is filled with a dielectric material that is 1 mm thick.
 
a) If the capacitors are connected in series vs parallel, which provides more total capacitance?
 
b) What is the difference in total energy if the capacitors are connected in series vs. parallel?
 
c) What dielectric material would you use in order to make the total capacitance of the capacitors connected in series equal to if they were connected in parallel? 
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