Charge accumulation on a capacitor

  • Context: Undergrad 
  • Thread starter Thread starter nbsmith
  • Start date Start date
  • Tags Tags
    Capacitor Charge
Click For Summary
SUMMARY

When a dielectric is inserted into a capacitor connected to a battery, more charge accumulates on the plates due to the polarization of the dielectric material. This polarization creates a weaker electric field within the dielectric, which in turn reduces the potential difference between the plates. The battery compensates for this change by supplying additional charge to maintain the original potential difference, resulting in increased charge accumulation on the capacitor plates. Key concepts include the behavior of electric fields, charge distribution, and the role of dielectrics in capacitors.

PREREQUISITES
  • Understanding of capacitor fundamentals, including charge accumulation and electric fields.
  • Familiarity with dielectric materials and their properties.
  • Knowledge of the relationship between voltage, charge, and capacitance (C = Q/V).
  • Basic principles of electrostatics, including attraction and repulsion of charges.
NEXT STEPS
  • Explore the effects of different dielectric materials on capacitor performance.
  • Learn about the mathematical derivation of capacitance with dielectrics.
  • Investigate the role of electric field strength in capacitor design and application.
  • Study the impact of dielectric breakdown and its implications for capacitor safety.
USEFUL FOR

Electrical engineers, physics students, and anyone interested in understanding capacitor behavior and the effects of dielectrics on charge accumulation.

nbsmith
Messages
7
Reaction score
0
When a capacitor is hooked up to a battery, why does more charge accumulate on the plates of a capacitor when a dielectric is inserted?

I've read a lot of mathematical answers to this question (based on C = Q/V), but I'd like a more causal explanation of what's really happening. Here's my understanding so far:

1) I begin by imagining a parallel plate capacitor hooked up to a potential difference (battery) without a dielectric. Equal but opposite charge accumulates on each plate. This happens because the negative terminal of the battery has excess electrons that repel some of themselves to the plate they are connected to. And the positive terminal attracts electrons creating a positive charge on the plate it is connected to.

Charge is attracted by opposite charge and repulsed by like charge. Charge stops accumulating when the attractive and repulsive forces are equal. (The geometry of the capacitor of course also affects how much will accumulate.)

2) As a result of this, an electric field will be created across the plates of the capacitor.

3) Now imagine a dielectric is placed in between the plates of a capacitor. The molecules of the dielectric will slightly polarize against the electric field of the plates. This will in tun create a weaker electric field. This field will act in the opposite direction of the first (the one caused by the plates).

Now I'm not completely sure why more charge would accumulate on the plates, but here's what I think:

4) Back to number 1, charges stopped accumulating on the plates because they were in balance between the repulsive and attractive forces acting on them. But now because of the polarized molecules of the dielectric, there is addtional "pull" on each of the plates. (There is a slight pull from the negative side of the molecules on the positive plate and vice-versa.) This causes additional charge to be attracted to each of the plates.

Here's a common picture visualizing this: http://www.chemistrydaily.com/chemistry/upload/c/c3/Dielectric.png"

Now everything I've said seems to makes sense to me, but here's my concern: In the picture above (and I've seen a number just like it), the electric field does not seem to change in the regions between the plates and the dielectric (assuming there is a gap). It is only weakened within the dielectric. If this is true, and the opposite field does not extend outside of the dielectric, then there shouldn't be any additional pull on the plates, and I don't see why more charge would accumulate.

So I see one of two possibilities:
a) The diagram is correct and there is another explanation for the extra accumulation of charge.
b) The diagram is incorrect and my explanation for the extra accumulation of charge is correct. (In other words, the field is also weakened outside the dielectric in the region between the dielectric and the plates.)

It does seem to me that the electric field should change outside the dielectric as well, but I may be wrong.
 
Last edited by a moderator:
Physics news on Phys.org
There are two basic concepts to consider here
A. Electrons in a conductors will move and keep on moving until the conductor is an equipotential.
B. The job of a battery is to keep whatever conductors are connected to its terminals at a constant potential difference.
As you mentioned,
nbsmith said:
Now imagine a dielectric is placed in between the plates of a capacitor. The molecules of the dielectric will slightly polarize against the electric field of the plates. This will in tun create a weaker electric field. This field will act in the opposite direction of the first (the one caused by the plates).
The weaker electric field means that there is less of a potential difference between the plates, which are connected by (equipotential) wires, all the way to the battery terminals. The battery does its job and pumps more charge onto the plates until the potential difference between the plates is back to what it was before the inserion of the dielectric.
 
  • Like
Likes   Reactions: berkeman

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 103 ·
4
Replies
103
Views
8K