Equivalent capacitance in complex circuit

Click For Summary
SUMMARY

The discussion focuses on calculating the equivalent capacitance between points a and b in a complex circuit containing multiple capacitors, each with capacitance C. The participant initially applied the formulas for capacitors in series and parallel but arrived at an incorrect conclusion of C or 1. Other contributors suggested using Kirchhoff's loop and node laws (KVL and KCL) to analyze the circuit, indicating that the correct equivalent capacitance is 2C, with one capacitor behaving as an open circuit due to the circuit's configuration.

PREREQUISITES
  • Understanding of capacitor configurations (series and parallel)
  • Familiarity with Kirchhoff's laws (KVL and KCL)
  • Basic circuit analysis techniques
  • Knowledge of equivalent capacitance calculations
NEXT STEPS
  • Study Kirchhoff's laws in-depth for circuit analysis
  • Learn about complex circuit analysis techniques
  • Explore the concept of open circuits in capacitor networks
  • Review equivalent capacitance calculations for various configurations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing capacitor networks in complex circuits.

quietriot1006
Messages
15
Reaction score
0

Homework Statement



Hello, I was given this problem as a homework assigment.
Each capacitor in the figure has capacitance C. What is the equivalent capacitance between points a and b?
The answer is given in "C_eq/C"

30.CP86.jpg


Homework Equations



I used the "C_eq={(1/C_1)+(1/C_2)+...(1/C_n)}^-1" for the capacitors in series.
I used the "C_eq=(C_1)+(C_2)+...(C_n) for the capacitors in parallel.

The Attempt at a Solution



Combining everything that was in parallel and everything that was in series until it come down to one capacitor, the answer that i get is C or 1. Any ideas on what I am doing wrong or if I am inputing the answer in the wrong way?
 

Attachments

  • 30_CP86.jpg
    30_CP86.jpg
    3.4 KB · Views: 1,093
Last edited:
Physics news on Phys.org
Welcome to PF.

It may be just me, but I don't see any series capacitors in this circuit.

This one may require Kirchoff's loop and node laws (also known as KVL and KCL).
 
I think it is 2C.
If you consider capacitors like resistances, you will see bridge and one of the capacitor behaves as open circuited.
 

Similar threads

Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 67 ·
3
Replies
67
Views
13K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
6K
Replies
108
Views
12K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 12 ·
Replies
12
Views
8K
Replies
5
Views
1K