Charge on Capacitors in Series with 24V Potential Difference

  • Thread starter Thread starter gralla55
  • Start date Start date
  • Tags Tags
    Capacitors Series
AI Thread Summary
When two capacitors, C1 (2.0 µF) and C2 (6.0 µF), are charged with a 24V potential difference and then connected in series, the charge on each capacitor is the same due to the nature of series circuits. The total capacitance can be calculated using the formula for capacitors in series, which results in a different charge distribution than if they were connected individually. The confusion arises because the book suggests that the charge remains as if each capacitor were isolated, which contradicts the series connection principle. Kirchhoff’s Voltage Law (KVL) indicates that the voltage across each capacitor will differ based on their capacitance values, leading to different voltage drops. The orientation of the capacitors in the circuit (positive on the left or right) does not affect the fundamental behavior of charge distribution in series.
gralla55
Messages
57
Reaction score
0
To capacitors are charged up with a potential difference of 24 volts, and then connected in series in a closed circuit. What is the final charge on each capacitor? C1 = 2,0*10^-6 F and C2 = 6,0*10^-6 F

What I did was to compute the total capacitance of the system, and use that to figure out the charge on the capacitor, which would have to be the same on both of them. Or so I thought, the answer in my book says that the charge on each capacitor is just equal to what it would have been if it was just sitting by itself. Why won't the charges distribute themselves equally over both plates in this scenario?
 

Attachments

  • ex6.jpg
    ex6.jpg
    45.9 KB · Views: 447
Physics news on Phys.org
Have you done a similar question involving two capacitors charged and then connected in parallel? This is the same except that one capacitor is charged with the oposite polarity (eg one +24V and the other -24V).

Redraw it with the caps on the left and right sides of the circuit.

What does KVL it tell you about the final voltage on each capacitor?
 
PS There are two ways to connect two capacitors in series. You have shown then both with +ve on the left. Is that how it's drawn in the book? What if one had +ve on the right?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top