Two charged capacitors cross connected to each other

AI Thread Summary
Capacitors C1 (6.99 mF) and C2 (1.72 mF) are initially charged in parallel across a 219 V battery. After disconnecting from the battery and each other, they are connected with positive to negative plates. This connection causes charge redistribution between the capacitors until they reach equal voltage. The charge on each capacitor can be calculated using the formulas Q=CV and the concept of charge flow until equilibrium is achieved. Understanding the implications of connecting the plates in this manner is crucial for solving the problem.
PhysicsUnderg
Messages
17
Reaction score
0

Homework Statement



Capacitors C1 = 6.99 mF and C2 = 1.72 mF are charged as a parallel combination across a 219 V battery. The capacitors are disconnected from the battery and from each other. They are then connected positive plate to negative plate and negative plate to positive plate. Calculate the resulting charge on capacitor C1


Homework Equations



V=Q/C, Q=CV

The Attempt at a Solution



I really do not know how to start this problem. I guess I don't know what is meant by the connection of positive plate to negative plate, visa versa... how does this effect the voltage? How do I reason out this problem?
 
Physics news on Phys.org
When thew capacitors are connected in parallel, voltage across each capacitor is the same and tha charge on each plate is
Q1 = C1V and Q2 = C2V.
When you connect positive plate to negative plate, charges will flow from one plate to the other until both the plates acquire the equal charges. And the charge on each plate will be (Q1 - Q2)/2.
 
PhysicsUnderg said:
I really do not know how to start this problem.
Finding charge on each capacitor, when charged by the 219 V battery, might be a good start.
I guess I don't know what is meant by the connection of positive plate to negative plate, visa versa...
Perhaps I can try to explain. Imagine for a moment that everything is color coded. Each capacitor has a red terminal and a blue terminal. The battery also has a red terminal (say, positive), and a blue terminal (negative).

When the are capacitors are charged by the 219 V battery, all the colors match

red..red..red +(positive)
.|...|...|
___...___...|
___...___...Batt
.|...|...|
blue blue blue -(negative)

Once charged, the battery is removed.

red..red
.|...|
___...___
___...___
.|...|
blue blue

Then, the capacitors are unconnected from each other. One is flipped upside down, and connected back to the other capacitor.


red..blue
.|...|
___...___
___...___
.|...|
blue red
 
Last edited:
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