Finding possible combinations of capacitors given circuit capacitance

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SUMMARY

The discussion focuses on finding possible combinations of capacitors to achieve a specific circuit capacitance. Participants agree that while drawing circuit diagrams is a helpful method for visualizing configurations, it is not the only approach. Instead, users can refer to existing lists of combinations. The consensus is that for small cases, a closed formula is impractical, especially with passive components like capacitors, resistors, and coils.

PREREQUISITES
  • Understanding of basic circuit theory
  • Familiarity with capacitor configurations (series and parallel)
  • Knowledge of passive components in electrical circuits
  • Ability to interpret circuit diagrams
NEXT STEPS
  • Research methods for calculating equivalent capacitance in series and parallel configurations
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  • Learn about the impact of capacitor tolerances on circuit performance
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USEFUL FOR

Electrical engineering students, hobbyists designing circuits, and professionals involved in circuit design and analysis will benefit from this discussion.

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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!
 
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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.
 
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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.
 
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