Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 21 - Electric Current and Direct-Current Circuits - Problems and Conceptual Exercises - Page 758: 67

Answer

(a) increase (b) II

Work Step by Step

(a) Let the capacitance of each capacitor be $ C_1=C_2=C_3=C $ The two capacitors are connected in parallel, so the equivalent capacitance is $ C_{12}=C_1+C_2=2C $ Now the third capacitor is connected to it; the equivalent capacitance is $ C_{effective}=C_{12}+C_3=2C+C=3C $ Thus, the equivalent capacitance is increased. (b) We know that the best explanation is option (II) -- that is, adding a capacitor in parallel will increase the total amount of charge stored, and hence increase the equivalent capacitance.
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