Question

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

Answer 1

A material's relative permittivity, or dielectric constant (${\varepsilon _r}$), 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 (${\varepsilon _r}$), 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:
${\varepsilon _r} = \dfrac{\varepsilon }{{{\varepsilon _o}}}$
Here, ${\varepsilon _r}$=relative permittivity - of dielectric constant
$\varepsilon$=permittivity of substance
${\varepsilon _o}$=permittivity of vacuum or free space
For any material, ${\varepsilon _r} > 1$
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:
${\mu _r} = \dfrac{\mu }{{{\mu _o}}}$
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 ${\varepsilon _r} > 1$ 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.