Finding possible combinations of capacitors given circuit capacitance

AI Thread Summary
Finding possible combinations of capacitors for a given circuit capacitance can be approached by drawing circuit diagrams, which aids in visualizing configurations. However, alternative methods exist, such as referencing lists of combinations without needing to diagram them. The consensus is that for small cases, a closed formula is impractical, and no general mathematical formula applies to numerous passive components like capacitors. The discussion emphasizes the utility of both visual and list-based methods for solving capacitance problems. Overall, understanding the configurations is key to determining the correct combinations.
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
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.
 
Reply
  • Like
Likes member 731016
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.
 
Reply
  • Like
Likes member 731016
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Electric field due to charges between 2 parallel infinite planes'

TL;DR Summary: Find Electric field due to charges between 2 parallel infinite planes using Gauss law at any point Here's the diagram. We have a uniform p (rho) density of charges between 2 infinite planes in the cartesian coordinates system. I used a cube of thickness a that spans from z=-a/2 to z=a/2 as a Gaussian surface, each side of the cube has area A. I know that the field depends only on z since there is translational invariance in x and y directions because the planes are...
View full post »

Similar threads

Spherical capacitor RC system -- determine steady state charges
Replies
6
Views
112
Changing capacitance effect on ripple in full rectification circuit
Replies
4
Views
3K
Why Capacitors in Parallels vs. Series: Coaxial Capacitor Case
Replies
2
Views
2K
Ranking charge stored on three capacitors by a battery
Replies
6
Views
3K
Capacitor Circuit Analysis: How to Find Voltage Across Resistors
Replies
15
Views
2K
Equivalent capacitance of circuit
Replies
12
Views
7K
Equivalent capacitance in a circuit
Replies
15
Views
3K
Combined tensions of an RLC series circuit with AC current
Replies
3
Views
882
Why Do Capacitors Behave Differently in Series and Parallel Configurations?
Replies
20
Views
2K
Equivalent capacitance of capacitors
Replies
4
Views
5K

Hot Threads

Recent Insights

Back
Top