Find the individual charge (and potential difference?) on each capacitor

Click For Summary
SUMMARY

The discussion focuses on calculating the individual charge and potential difference across four capacitors connected in a circuit, with a given capacitance of C = 18.0 µF and a total voltage of ΔVab = 17.0 V. The equivalent capacitance was determined to be 6 x 10-6 F. The key formulas used include Q = CΔV for charge calculation and the relationships for series and parallel capacitors, specifically Qtot = Q1 + Q2 for parallel and Vtot = V1 + V2 for series. The discussion concludes with the affirmation that the total charge remains constant across series capacitors, allowing for the calculation of individual charges.

PREREQUISITES
  • Understanding of capacitor configurations (series and parallel)
  • Familiarity with the formula Q = CΔV
  • Knowledge of equivalent capacitance calculations
  • Basic principles of electric charge conservation
NEXT STEPS
  • Study the concept of equivalent capacitance in series and parallel circuits
  • Learn how to apply the formula Q = CΔV in different capacitor configurations
  • Explore detailed examples of charge distribution in series and parallel capacitors
  • Investigate the impact of varying capacitance values on total charge and voltage
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and anyone looking to deepen their understanding of capacitor behavior in circuits.

Color_of_Cyan
Messages
386
Reaction score
0

Homework Statement



Four capacitors are connected as shown in the figure below. (Let C = 18.0 µF.)
26-p-023-alt.gif


Find the equivalent capacitance between points a and b

Calculate the charge on each capacitor, taking ΔVab = 17.0 V

Homework Equations


Q = CΔV

C = Q / ΔVΔV1 = ΔV2 = ΔVtot (for parallel capacitors)

Q tot = Q1 + Q2 (charge on parallel capacitors, it says)ΔVtot = ΔV1 + ΔV2 (for series capacitors)

Q = Q1 = Q2 (charge on series capacitors, it says)

The Attempt at a Solution


The only thing I could solve was the equivalent capacitance across, which is 6 x 10-6

And I broke it up like this (and it's correct):
http://desmond.imageshack.us/Himg213/scaled.php?server=213&filename=prob1m.jpg&res=landing I have NO IDEA at all how to determine the individual charge on each of them, even with the formulas...

I can see ΔV across series is supposed to add up to 17V but no idea how.

Where should I start on that?Edit: ok used Q = CV for the (20 x 10-6 f) capacitor and got (102 x 10-6 C) because charge is supposed to be the same across series
 
Last edited by a moderator:
Physics news on Phys.org
What you have done so far is correct...now find the total capacitance of the 2 in series... (You were able to find the equivalent of C and the 3uF in series !) then you should be able to get the total charge.
 
Last edited:
ok i got them all

you need to just mainly worry about using total charge Q = Q1 = Q2 for series capacitors and V tot = V1 = V2 for parallel capacitors, just to find the individual potentials / charges.

Then you need to work your way down with these and the other two formulas.
 
thats correct !
 

Similar threads

Replies
4
Views
2K
Replies
9
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K