Solve Capacitor Circuit: Calculate ε for C1, C2, C3, C4 & C5

  • Thread starter Thread starter unhip_crayon
  • Start date Start date
  • Tags Tags
    Capacitor Circuit
Click For Summary
SUMMARY

The discussion focuses on calculating the electromotive force (ε) for a capacitor circuit involving five capacitors: C1 = 18.0 nF, C2 = 6.00 nF, C3 = 24.0 nF, C4 = 12.0 nF, and C5 = 72.0 nF, with the energy stored in C5 being 256 nJ. The relevant equations include q = cv and the energy stored equation, E = (1/2) C V². Participants suggest combining capacitors in series and parallel to simplify calculations, emphasizing the importance of understanding voltage and charge relationships in capacitor circuits.

PREREQUISITES
  • Understanding of capacitor configurations (series and parallel)
  • Familiarity with the equations for charge (q = cv) and energy stored (E = (1/2) C V²)
  • Basic knowledge of electrical units (nanoFarads, nanoJoules)
  • Ability to manipulate algebraic equations for circuit analysis
NEXT STEPS
  • Study capacitor circuit analysis techniques, focusing on series and parallel combinations
  • Learn how to derive voltage and charge relationships in capacitor circuits
  • Explore energy storage calculations in capacitors using E = (1/2) C V²
  • Investigate practical applications of capacitors in electronic circuits
USEFUL FOR

Students studying electrical engineering, electronics enthusiasts, and anyone seeking to understand capacitor circuits and energy calculations.

unhip_crayon
Messages
34
Reaction score
0

Homework Statement



In the circuit, C1 = 18.0 nF, C2 = 6.00 nF, C3 = 24.0 nF, C4 = 12.0 nF and
C5 = 72.0 nF. The energy stored in C5 is 256. nJ.
Calculate [tex]\epsilon[/tex].

http://answerboard.cramster.com/answer-board/image/ea6f47d9fdca7dada7592281cfa85c4a.jpg

Homework Equations



q=cv

The Attempt at a Solution



C12=24nF
C34=36nF
C125=18nF
C12345=12nF


q5=q12=q34=(C34)(V34)

V24=5/36

V24=0.1389

lol i donno...can someone help me out. I don't understand this. I know q's are equal in series and V's are equal in parallel but then i get stuck. Please help


Thanks
 
Last edited by a moderator:
Physics news on Phys.org
You did well to combine C1&C2, and C3&C4. I think I would not further combine the capacitors, given the specific information given about C5.

Also, here's another relevant equation:
(Energy stored) = (1/2) C V^2
 

Similar threads

Replies
8
Views
9K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
11
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
4
Views
4K
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 2 ·
Replies
2
Views
8K
  • · Replies 3 ·
Replies
3
Views
5K