Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

For the capacitor network shown in Fig. we saw earlier, the potential difference across aba b is 48 V48 \mathrm{~V}. Find (a) the total charge stored in this network:

Solution

Verified
Answered 11 months ago
Answered 11 months ago
Step 1
1 of 4

Equivalent capacitance of capacitors in series:

1Ceq=1C1+1C2+1C3+......\begin{aligned} \frac{1}{{{C_{{\text{eq}}}}}} = \frac{1}{{{C_1}}} + \frac{1}{{{C_2}}} + \frac{1}{{{C_3}}} + ...... \end{aligned}

where:

CeqEquivalent capacitance of capacitors in series,C1,C2,C3capacitance of each individual capacitor.\begin{aligned} {C_{{\text{eq}}}} \Rightarrow {\text{Equivalent capacitance of capacitors in series}}, \\ {C_1},{C_2},{C_3} \to {\text{capacitance of each individual capacitor}}{\text{.}} \\ \end{aligned}

When capacitors are connected in series, the reciprocal of the equivalent capacitance of a series combination equals the sum of the reciprocals of the individual capacitances. The magnitude of the charge is the same on all of the plates of all of the capacitors, but the potential differences across individual capacitors are, in general, different.

Create an account to view solutions

Create an account to view solutions

Recommended textbook solutions

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4th Edition by Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (4 more)Randall D. Knight
3,508 solutions
Sears and Zemansky's University Physics 14th Edition by Hugh D. Young, Roger A. Freedman

Sears and Zemansky's University Physics

14th EditionISBN: 9780133969290Hugh D. Young, Roger A. Freedman
8,575 solutions
Mathematical Methods in the Physical Sciences 3rd Edition by Mary L. Boas

Mathematical Methods in the Physical Sciences

3rd EditionISBN: 9780471198260Mary L. Boas
3,355 solutions
Fundamentals of Physics 10th Edition by David Halliday, Jearl Walker, Robert Resnick

Fundamentals of Physics

10th EditionISBN: 9781118230718David Halliday, Jearl Walker, Robert Resnick
8,971 solutions

More related questions

1/4

1/7