Question

why is it physically reasonable to expect that two identical parallel plate capacitors that are placed in series ought to have half the capacitance as one capacitor

Answers

In series
the charge has to be the same on both, call it Q
by definition each capacitance C= Q/V
so Veach = Q/C
now in series the voltages on each capacitor add so
V total = 2 Q/C
but by definition our equivalent capacitance = Q/Vtotal = C/2
Use the same argument but same voltage on each

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