Three dielectric slabs in a capacitor

In summary, @gneill is trying to explain how to make three pairs of parallel capacitors from only two pieces of dielectric by inserting metal plates at the boundaries. However, he is not clear about what is not relevant to being "equipotential" and asks for clarification. @gneill also asks for help with vectors, but instead of trying to figure it out for himself, he asks for help from others.
  • #71
http://astarmathsandphysics.com/university-physics/electricity-and-magnetism/parallel-plate-capacitors-html-9fd61e5.gif [Broken]

Here the two plates have same area "A" ,I want to ask what if they had different areas , will they still form parallel plate capacitors together?
 
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  • #72
gracy said:
http://astarmathsandphysics.com/university-physics/electricity-and-magnetism/parallel-plate-capacitors-html-9fd61e5.gif [Broken]

Here the two plates have same area "A" ,I want to ask what if they had different areas , will they still form parallel plate capacitors together?
Yes. But the capacitance will be different.
 
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  • #73
What will we write in place of A in the below formula ? A or B?
##\frac{Aε0}{d}## If one plate has area "A" and the other "B"
 
  • #74
The charges have to be uniformly distributed on both the plates and the plates have different areas. I believe the capacitance calculation will be a little complicated.
 
  • #75
Ok. What will be the formula of capacitance for the plate 2 here

kdi.png
 
  • #76
What are those blue portions? Dielectrics? What are the red lines joining them? Wires?
 
  • #77
cnh1995 said:
What are those blue portions? Dielectrics? What are the red lines joining them? Wires?
Yes and yes.
 
  • #78
Given the area, separation and permitivitty, its capacitance would be C=Aε/d..
 
  • #79
A is area of ? And why there isn't "K" present?
 
  • #80
gracy said:
A is area of ? And why there isn't "K" present?
What's the need of k when there is 'ε' which is itself kεo? A is the area of each plate(which is same throughout). I don't understand why you are analyzing this diagram.
 
  • #81
Ok. Fine. Let's end this thread here as it is going off topic.
 
<h2>1. What is a dielectric slab in a capacitor?</h2><p>A dielectric slab is a material with high electrical insulation properties that is placed between the plates of a capacitor. It helps to increase the capacitance of the capacitor by reducing the electric field between the plates.</p><h2>2. How does the presence of three dielectric slabs affect the capacitance of a capacitor?</h2><p>The presence of three dielectric slabs in a capacitor increases its capacitance by a factor of three. This is because each slab reduces the electric field between the plates, allowing more charge to be stored on the plates.</p><h2>3. What is the role of dielectric slabs in a capacitor?</h2><p>The main role of dielectric slabs in a capacitor is to increase its capacitance. They also help to reduce the electric field between the plates, which can prevent arcing and breakdown of the capacitor.</p><h2>4. Can any material be used as a dielectric slab in a capacitor?</h2><p>No, not all materials can be used as dielectric slabs in a capacitor. The material must have high electrical insulation properties and low dielectric loss in order to be effective in increasing the capacitance of the capacitor.</p><h2>5. How do the properties of dielectric slabs affect the overall performance of a capacitor?</h2><p>The properties of dielectric slabs, such as dielectric constant and dielectric strength, play a crucial role in determining the capacitance and overall performance of a capacitor. A higher dielectric constant will result in a higher capacitance, while a higher dielectric strength will ensure the capacitor can withstand higher voltages without breaking down.</p>

1. What is a dielectric slab in a capacitor?

A dielectric slab is a material with high electrical insulation properties that is placed between the plates of a capacitor. It helps to increase the capacitance of the capacitor by reducing the electric field between the plates.

2. How does the presence of three dielectric slabs affect the capacitance of a capacitor?

The presence of three dielectric slabs in a capacitor increases its capacitance by a factor of three. This is because each slab reduces the electric field between the plates, allowing more charge to be stored on the plates.

3. What is the role of dielectric slabs in a capacitor?

The main role of dielectric slabs in a capacitor is to increase its capacitance. They also help to reduce the electric field between the plates, which can prevent arcing and breakdown of the capacitor.

4. Can any material be used as a dielectric slab in a capacitor?

No, not all materials can be used as dielectric slabs in a capacitor. The material must have high electrical insulation properties and low dielectric loss in order to be effective in increasing the capacitance of the capacitor.

5. How do the properties of dielectric slabs affect the overall performance of a capacitor?

The properties of dielectric slabs, such as dielectric constant and dielectric strength, play a crucial role in determining the capacitance and overall performance of a capacitor. A higher dielectric constant will result in a higher capacitance, while a higher dielectric strength will ensure the capacitor can withstand higher voltages without breaking down.

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