Finding possible combinations of capacitors given circuit capacitance

In summary, the possible combinations for finding capacitance can be determined by drawing circuit diagrams, but it is also possible to use a list of configurations. There is no closed formula for this problem, and it may be more practical to use circuit diagrams.
  • #1
member 731016
Homework Statement
Please see below
Relevant Equations
Please see below
For this problem,
1675969562591.png

The solution is,
1675969587554.png

Is the only way of finding the possible combinations is by drawing out circuit diagrams?

Many thanks!
 
Physics news on Phys.org
  • #2
Callumnc1 said:
Homework Statement:: Please see below
Relevant Equations:: Please see below

For this problem,
View attachment 322007
The solution is,
View attachment 322008
Is the only way of finding the possible combinations is by drawing out circuit diagrams?

Many thanks!

Drawing a circuit diagram surely helps when you are trying to figure out the capacitance for each particular configuration. However, if you intensely dislike drawing circuit diagrams, you can always look at the list that you posted above.
 
  • Like
Likes member 731016
  • #3
Callumnc1 said:
Homework Statement:: Please see below
Relevant Equations:: Please see below

For this problem,
View attachment 322007
The solution is,
View attachment 322008
Is the only way of finding the possible combinations is by drawing out circuit diagrams?

Many thanks!
I think so. For such a small case a closed formula doesn't make sense to me and for very many passive circuit elements like resistors, capacitors or coils I am quite sure to not have a closed mathematical formula at all - plus, there is no usage for such a general case.
 
  • Like
Likes member 731016
  • #4

Related to Finding possible combinations of capacitors given circuit capacitance

What is the formula to calculate the equivalent capacitance of capacitors in series?

When capacitors are connected in series, the reciprocal of the total (equivalent) capacitance (C_eq) is the sum of the reciprocals of the individual capacitances. The formula is given by: 1/C_eq = 1/C1 + 1/C2 + 1/C3 + ... + 1/Cn.

How do you calculate the equivalent capacitance of capacitors in parallel?

For capacitors connected in parallel, the total (equivalent) capacitance (C_eq) is the sum of the individual capacitances. The formula is: C_eq = C1 + C2 + C3 + ... + Cn.

Can you combine series and parallel capacitors in a single circuit to achieve a desired capacitance?

Yes, you can combine capacitors in both series and parallel configurations to achieve a desired capacitance. By strategically arranging capacitors in series and parallel, you can fine-tune the total capacitance of the circuit to meet specific requirements.

How do you find all possible combinations of capacitors to achieve a specific capacitance?

To find all possible combinations of capacitors to achieve a specific capacitance, you need to systematically explore different series and parallel configurations. This often involves using recursive algorithms or computer programs to iterate through all possible combinations and calculating their equivalent capacitances.

What tools or software can help in finding possible combinations of capacitors for a given capacitance?

Various tools and software can assist in finding possible combinations of capacitors, including circuit simulation software like SPICE, online capacitor combination calculators, and custom scripts written in programming languages such as Python or MATLAB that can automate the process of calculating and comparing different configurations.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
649
  • Introductory Physics Homework Help
Replies
6
Views
283
  • Introductory Physics Homework Help
Replies
8
Views
387
  • Introductory Physics Homework Help
Replies
15
Views
2K
Replies
4
Views
568
  • Introductory Physics Homework Help
Replies
8
Views
951
Back
Top