# Three parallel-plate capacitors are constructed, each havingthe same plate area A and with C1 having plate spacing d1,C2 having plate spacing d2, and C3 having plate spacing d3.Show that the total capacitance C of the three capacitors connectedin series is the same as a capacitor of plate area A andwith plate spacing d = d1 +d2 x d3.

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Three parallel-plate capacitors are constructed, each having
the same plate area A and with C1 having plate spacing d1,
C2 having plate spacing d2, and C3 having plate spacing d3.
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 = d1 +d2 x d3.

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Step 1

The equation for the net capacitance of the series connection is given by,

Step 2

The equation for C2 is given by,

Step 3

Putting the above three equat...

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