What is the capacity of the capacitor?

In summary: What does the inverse of capacitance look like?In summary, for a parallel plate capacitor with two dielectric layers of thickness d1 and d2, the capacitance can be calculated using the equation C = εA / (d1/ε1 + d2/ε2), where ε is the effective permittivity of each layer. Remember to use parentheses to clarify the order of operations, and consider the inverse of capacitance when combining capacitors in series.
  • #1
tsgkl
11
0

Homework Statement


The space between the plates of a parallel plate capacitor is filled consecutively with two dielectric layers of thickness d1 and d2 respectively.If A is the area of each plate,what is the capacity of the capacitor?


Homework Equations


C=[itex]\frac{εA}{d}[/itex]
(for parallel plate capacitor with air as dielectric)

The Attempt at a Solution


i honestly don't know how to attempt this question...can anyone give me some clues...
 
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  • #2
tsgkl said:

Homework Statement


The space between the plates of a parallel plate capacitor is filled consecutively with two dielectric layers of thickness d1 and d2 respectively.If A is the area of each plate,what is the capacity of the capacitor?


Homework Equations


C=[itex]\frac{εA}{d}[/itex]
(for parallel plate capacitor with air as dielectric)

The Attempt at a Solution


i honestly don't know how to attempt this question...can anyone give me some clues...
Were you given the relative permittivity for each dielectric material?

Hint: Dielectric layers which parallel the plates of the capacitor will effectively behave like capacitors in their own right, carving the original space into a set of capacitors in series. The surface boundaries between materials are the locations of the "plates" of these capacitors. Dielectric surfaces in contact with the conductive plates of the capacitor are considered to be a single plate of one such capacitor (consider the plate to be the electrical contact of that sub-capacitor).
 
  • #3
nope, relative permittivity for each material ain't given...
 
  • #4
tsgkl said:
nope, relative permittivity for each material ain't given...

Then you'll have to create your own variable names for them. No big deal since numerical values for the thicknesses and area weren't given either, so a symbolic result is expected.
 
  • #5
just tell me one thing is effective thickness of dielectric 1/ε the actual thickness?
 
  • #6
tsgkl said:
just tell me one thing is effective thickness of dielectric 1/ε the actual thickness?

d1 and d2 are the actual thicknesses. I suppose one could consider the effective thicknesses to be ##\frac{1}{ε_1}d_1## and ##\frac{1}{ε_2}d_3##, where ε1 and ε2 are the relative permittivities. Although it is more usual to see the effective permittivity specified as εεo and the distances left alone.
 
  • #7
as you said the effective thickness to be d11 and d22 so the answer should be εA/d11+d22
 
  • #8
tsgkl said:
as you said the effective thickness to be d11 and d22 so the answer should be εA/d11+d22

You should use parentheses in your expressions to disambiguate the order of operations. Even so, your expression doesn't have the right form.

How do capacitors in series add?
 

Related to What is the capacity of the capacitor?

What is the capacity of the capacitor?

The capacity of a capacitor is a measure of its ability to store electrical charge. It is measured in units of farads (F) and is represented by the symbol C.

How is the capacity of a capacitor calculated?

The capacity of a capacitor is calculated by dividing the amount of charge stored on one plate by the potential difference between the two plates. This can be represented by the equation C = Q/V, where C is the capacity in farads, Q is the charge in coulombs, and V is the potential difference in volts.

What factors affect the capacity of a capacitor?

The capacity of a capacitor is affected by several factors, including the distance between the plates, the size of the plates, and the type of material used for the plates and the insulating material between them. Additionally, the potential difference applied to the capacitor and the dielectric constant of the insulating material also play a role in determining the capacity.

What is the maximum capacity of a capacitor?

The maximum capacity of a capacitor is dependent on its physical properties and can vary greatly. Some capacitors have a capacity in the range of picofarads (10^-12 F), while others have capacities in the range of farads (10^12 F). However, in theory, there is no limit to the maximum capacity of a capacitor.

How does the capacity of a capacitor affect its performance?

The capacity of a capacitor directly affects its ability to store charge and its ability to block certain frequencies of electrical signals. A higher capacity capacitor can store more charge and can therefore hold a larger amount of energy. Additionally, a higher capacity capacitor can block lower frequencies of electrical signals more effectively, making it suitable for use in filters and other electronic components.

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