Question

Relative permittivity and permeability of a material are $${\epsilon }_r$$ and $${\mu }_r$$, respectively. Which of the following values of these quantities are allowed for a diamagnetic material?
A. $${\epsilon }_r=1.5,{\mu }_r=1.5$$
B. $${\epsilon }_r=0.5,{\mu }_r=1.5$$
C. $${\epsilon }_r=1.5,{\mu }_r=0.5$$
D. $${\epsilon }_r=0.5,{\mu }_r=0.5$$

Answer 1

Hint: A material's relative permittivity, or dielectric constant ($${\epsilon }_r$$), is its (absolute) permittivity expressed as a ratio to vacuum permittivity. Relative permeability, denoted by the symbol ($${\mu }_r$$), is the ratio of a given medium's permeability to free space permeability.

Complete step by step answer:
In physics, a basic rule of thumb is used to determine whether a particle is paramagnetic or diamagnetic (atom, ion, or molecule). The material consisting of this particle is diamagnetic if all electrons in the particle are paired; if it has unpaired electrons, then the material is paramagnetic.

The dielectric constant often referred to as relative permittivity ($${\epsilon }_r$$), shows how quickly a substance can be polarized by applying an electric field on an insulator. Relative permittivity is the ratio of a substance's permittivity to the allowability of space or vacuum.
Relative permittivity can be expressed as:
$${\epsilon }_r={\displaystyle \frac{\epsilon }{{\epsilon }_o}}$$
Here, $${\epsilon }_r$$=relative permittivity - of dielectric constant
$$\epsilon$$=permittivity of substance
$${\epsilon }_o$$=permittivity of vacuum or free space
For any material, $${\epsilon }_r>1$$
The ratio of the permeability of a given medium to the permeability of free space $${\mu }_o$$ is the relative permeability denoted by the symbol $${\mu }_r$$.
Relative permeability can be expressed as:
$${\mu }_r={\displaystyle \frac{\mu }{{\mu }_o}}$$
Here,$${\mu }_r$$= relative permeability
$$\mu$$= permeability of the given medium
$${\mu }_o$$=permeability of free space
For diamagnetic material, $$0<{\mu }_r<1$$
Hence, for a diamagnetic material $${\epsilon }_r>1$$ and $$0<{\mu }_r<1$$.

So, the correct answer is “Option C”.

Note:
In this question we need to understand the relationship of relative permittivity and relative permeability for a diamagnetic material. Different materials execute different properties.In this question we need to understand the relationship of relative permittivity and relative permeability for a diamagnetic material. Different materials execute different properties.