College Physics 10th Edition by Raymond Serway,Chris Vuille

Exercise 77

Three parallel-plate capacitors are constructed, each having the same plate area A and with C 1 having plate spacing d 1 , C 2 having plate spacing d 2 , and C 3 having plate spacing d 3. Show that the total capacitance C of the three capacitors connected in series is the same as a capacitor of plate area A and with plate spacing d = d 1 + d 2 + d 3.