Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 29 - Potential and Field - Exercises and Problems - Page 865: 56

Answer

See the figures below.

Work Step by Step

$$\color{blue}{\bf [a]}$$ To reach a net capacitcance of $4\;\rm\mu F$, we should connect the three $12\;\rm\mu F$-capacitors in series. $$C_{eq}=\left[ \dfrac{1}{12}+ \dfrac{1}{12}+ \dfrac{1}{12}\right]^{-1}=\bf 4\;\rm \mu F$$ See the first circuit below. $$\color{blue}{\bf [b]}$$ To reach a net capacitance of $8\;\rm\mu F$, we should connect two of them in parallel and the last one should be in series to this parallel combination. $$C_{eq}=\left[ \dfrac{1}{24}+ \dfrac{1}{12} \right]^{-1} =\bf 8\;\rm \mu F$$ See the second circuit below. $$\color{blue}{\bf [c]}$$ To reach a net capacitance of $18\;\rm\mu F$, we should connect two of them in series and the last one should be in parallel to this series combination. $$C_{eq}=\left[ \dfrac{1}{12}+ \dfrac{1}{12} \right]^{-1}+12=\bf 18\;\rm \mu F$$ See the third circuit below. $$\color{blue}{\bf [d]}$$ To reach a net capacitance of $36\;\rm\mu F$, we should connect the three $12\;\rm\mu F$-capacitors in parallel. $$C_{eq}=12+12+12=\bf 36\;\rm \mu F$$ See the fourth circuit below.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.