Understanding Capacitors: Why Removing One Affects the Net Charge on the Other

  • Thread starter Thread starter FrogPad
  • Start date Start date
  • Tags Tags
    Capacitor
AI Thread Summary
When two capacitors are connected in parallel to a battery, they share the total voltage, and the charge on each capacitor is determined by its capacitance. Removing one capacitor does not change the voltage across the remaining capacitor, so its net charge remains the same. The confusion arises from misunderstanding the concept of "net charge," which refers to the charge on the capacitor plates rather than the total charge in the circuit. The relationship between charge, voltage, and capacitance is defined by the equation C = q/V. Therefore, the charge on capacitor A does not increase when capacitor B is removed; it remains constant.
FrogPad
Messages
801
Reaction score
0
I had this question on a test I just took. I'm not really sure why I am wrong with my answer, and was just wondering if someone could give me a little more detail on it.

Here is the question:
Two capacitors are connected in parallel to a battery.
V_{bat} = 60V
C_A=2\muF
C_B=3\muF

Suppose capacitor B were removed from the circuit. Does the net charge on the upper plate of capacitor A increase, decrease, or repain the same? Explain.


For my answer I put:
It increases. Since the charge is now moving to one capacitor, it will receive more charge b/c Q=Q_A+Q_B which basically states that the charge is being "split" in some fashion between the two capacitors. Since Q_B is removed, after a period of time Q_A will increase.

The correct answer was that it will remain the same. I guess I was picturing the charge being split between the parallel connection. Now that one of them is gone, more charge will flow to the remaining capacitor. I guess the confusion with me rests in the "net charge" statement. What the hell does this mean? I understand that a parallel plate capacitor has a charge on the upper plate that is equal to the lower plate. Is this what the question is trying to ask (or is asking)?


Thanks in advance.
 
Physics news on Phys.org
Charge "builds up" on a capacitor plate according to the voltage across it. Thats the definition of capacitance: C = q/V , the ratio of charge per unit of potential.

If two capacitors are wired in parallel with a battery, they will both be put across the full potential difference of the battery. Take away one, and the other will still be across the full potential difference.
 
Ahh.. I guess I had a bad mental model in my head. The equation says it all... damn :(

Q= Q_1+Q_2 I think I pulled that out of my ass ? I must of had it confused with I=I_1+I_2 for the parallel combination. Thank you :smile: for the help.
 
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}...
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...
Back
Top