Equivalent Capacitance of a set of Capacitors

In summary, equivalent capacitance is the combined capacitance of a set of capacitors in a circuit, representing the total amount of charge that can be stored. It can be calculated using the formula 1/Ceq = 1/C1 + 1/C2 + 1/C3 + ... + 1/Cn, or by adding the capacitances of capacitors connected in parallel, and using the formula Ceq = C1 + C2 + C3 + ... + Cn for capacitors connected in series. When capacitors are connected in series, the equivalent capacitance decreases, while it increases when connected in parallel. Calculating equivalent capacitance is important for understanding the behavior of a circuit and designing and analyzing electronic circuits.
  • #1
NotCarlSagan
9
0

Homework Statement


GqVY9.jpg



Homework Equations



1/Ceq= 1/C1 + 1/C2

The Attempt at a Solution



1/C13eq= 1/3C1 + 1/5C3 = 8C/3 = 2.67C

1/C12eq= (3C x C)/(3C + C) = 0.75C

Ceqtotal = 2.67C + 0.75C = 3.42C

I think the series circuit is throwing me off?
 
Physics news on Phys.org
  • #2
Consider the combination of C2 and C3 as a single capacitor in series with C1.
 
  • #3
NotCarlSagan said:

Homework Equations



1/Ceq= 1/C1 + 1/C2


That's the equation for caps in series. What about the equation for caps in parallel?
 

Related to Equivalent Capacitance of a set of Capacitors

1. What is equivalent capacitance?

Equivalent capacitance is the combined capacitance of a set of capacitors connected in a circuit. It represents the total amount of charge that can be stored in the circuit.

2. How do you calculate equivalent capacitance?

To calculate equivalent capacitance, you can use the formula 1/Ceq = 1/C1 + 1/C2 + 1/C3 + ... + 1/Cn, where C1, C2, C3, etc. are the individual capacitances of the capacitors in the circuit. Alternatively, if the capacitors are connected in parallel, you can simply add their capacitances together. If they are connected in series, you can use the formula Ceq = C1 + C2 + C3 + ... + Cn.

3. What happens to equivalent capacitance when capacitors are connected in series?

When capacitors are connected in series, their equivalent capacitance decreases. This is because the total potential difference across the capacitors increases, but the total charge remains the same. Therefore, the ratio of charge to potential difference (capacitance) decreases.

4. What happens to equivalent capacitance when capacitors are connected in parallel?

When capacitors are connected in parallel, their equivalent capacitance increases. This is because the total charge stored in the circuit increases, but the potential difference across each capacitor remains the same. Therefore, the ratio of charge to potential difference (capacitance) increases.

5. Why is it important to calculate equivalent capacitance?

Calculating equivalent capacitance allows us to understand the behavior of a circuit as a whole. It helps us determine the total amount of charge that can be stored and the potential difference across the circuit. This information is crucial in designing and analyzing electronic circuits.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
27
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
3K
  • Introductory Physics Homework Help
Replies
19
Views
2K
  • Introductory Physics Homework Help
Replies
12
Views
6K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
2K
Back
Top