# Dimensions of Dielectric Constant

## Introduction to Dimensions of Dielectric Constant

Before knowing about the dimensions of the dielectric constant, let us know about what actually the term is related to.

Dielectric constant is a quantity measuring a substance’s ability to store electrical energy in an electric field. It is also known as relative permittivity or specific capacity and it is a property of an electrical insulating material which is a dielectric. It is equal to the ratio of the capacitance of a capacitor (filled with a given material) to the capacitance of an identical capacitor in a vaccum without the dielectric material. The dielectric constant is a number with no dimensions. At room temperature, the dielectric constant for air is 1.00059, for paraffin is 2.25, for water is 78.2 and for barium titanate is 2,000. These values exist when the electric field is applied perpendicular to the crystal’s principal axis. For liquids and solids, dielectric constant can be calculated by comparing the value of capacitance when the dielectric is in place to its value and when the capacitor is filled with air.

The dielectric constant and the dimensions of the dielectric constant is one of the important topics for the students who are aspiring to crack the IIT JEE exam. For the IIT JEE main the topic of Dielectric is covered under the chapter that deals with Electricity and Magnetism. And also, this topic is helpful for the IIT JEE advanced as well. And therefore, understanding the Dimensions of the Dielectric Constant is necessary for all the aspirants.

But there is one more thing which is even more important for the students, and that one thing is to have an explanation which is easy to understand because otherwise you are not going to have a clear understanding of the topic of Dimensions of Dielectric constant, and hence it is going to affect you negatively in your exam as well. And not just on the part of the Dimensions of Dielectric constant, it may affect your complete preparation because if you have a hard time understanding one topic, it wastes your time and also it makes you doubt your abilities as well. And thus, a bad explanation of the topic affects your overall preparation in a very bad manner.

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### Dielectric Constant Formula

Dielectric constant can be mathematically expressed as:

K = $\frac{\varepsilon }{\varepsilon _{0}}$

here,

• κ is the dielectric constant

• 𝜺 is the permittivity of the substance

• ε₀ is the permittivity of the free space

### Dielectric Constant Units

Being the ratio of two like entities, it is a unitless, dimensionless quantity.

### Symbol of Dielectric Constant Symbol

Also called the relative permittivity of a dielectric substance, dielectric Constant is expressed using the Greek letter known as kappa ‘κ’.

### Theory Related to Dielectric Constant

When the dielectric constant increases, the electric flux density increases, and the condition is such that all other factors should remain unchanged. This enables objects, such as sets of metal plates of a given size, to hold their electric charge for long periods of time, and/or also to hold large quantities of charge. Materials with high dielectric constants are applicable in the manufacture of high-value capacitors.

### Dimensional Formula of Dielectric Constant

The dimension of dielectric constant is given by,

M$^{\circ}$L$^{\circ}$I$^{\circ}$T$^{\circ}$

where,

• M denotes Mass

• L denotes Length

• T denotes Time

### An Overview of Dimensions of Dielectric constant

It is better for the students to acquaint themselves with the Dielectric Constant before jumping right into the Dimensions of Dielectric constant.

The relative permittivity and Specific inductive capacity, are two other terms by which the dielectric constant is sometimes referred. To measure the ability of the material to store the electric energy in an electric field, the dielectric constant is used. When designing the thin film capacitors, the dielectric constant plays an important part, because it provides some essential information. And in other circumstances, like that when the material is expected to introduce the capacitance into a circuit, the information that the Dielectric constant provides is of utmost importance.

The ratio between the capacitance of the capacitor with the test material and the capacitance of a capacitor with the vacuum, that is to say, Void, or a space, as the dielectric, is the dielectric constant. Also, the dielectric constant is a number that does not have a dimension. The dielectric constant is identical to the constant of proportionality, in the centimetre – gram – second system. Without specifying the electrical behaviour, the dielectric constant indicates the large-scale property of dielectrics.

## FAQs on Dimensions of Dielectric Constant

1. Do substances of a high dielectric constant break easily?

It is truly known that substances of high dielectric constants break down easily when these are subjected to intense electric fields as compared to the materials with low dielectric constants. For instance, dry air having low dielectric constant makes an excellent dielectric material for capacitors used in high power radio frequency transmitters. If even air undergoes dielectric breakdown, the breakdown is not permanent. While removing the excessive electric field, the air returns to its normal dielectric state. However, solid dielectric substances like glass or polyethylene can sustain the permanent damage.

2. What is Dielectric Constant?

Dielectric constant is the ratio of a substance’s permittivity to the permittivity of free space. It is an expression of the extent to which a material concentrates electric flux and it is the electrical equivalent of relative magnetic permeability.

3. Is the topic of Dimensions of Dielectric Constant difficult to understand?

No, the topic of Dimensions of Dielectric Constant is not difficult to understand at all. There is one point which you are required to take into consideration and that is, the complete syllabus of the IIT JEE for physics is prepared from the chapters which have been covered in the physics subject of your 11th and 12th class, and you may have studied the topic of Dimensions of Dielectric Constant as well in those class, and hence you can understand that the difficulty level of the Dimensions of Dielectric Constant matches your intellectual level.

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