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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

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

To determine
The capacitance of three capacitors in series.

Explanation

Formula to calculate the equivalent capacitance of three capacitors in series is,

1Ceq=1C1+1C2+1C3

Formula to calculate C1 is,

C1=ε0Ad1

Formula to calculate C2 is,

C2=ε0Ad2

Formula to calculate C3 is,

C3=ε0Ad3

From the above equations,

1<

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