- #1
Pushoam
- 962
- 52
Can a sphere with a frozen - in uniform polarization ## \vec P ## be considered a linear dielectrics?
Following the definition of dielectrics given in Griffiths:
The electric field inside the sphere,
## \vec E = \frac {-P}{3 \epsilon_0} ##
So, ## \vec P ≠ ε_0 χ_e \vec E ## as ## ε_0 χ_e## can't be negative?
On the other hand, outside the dielectrics, ## \vec P is 0## , but ## \vec E is non-zero ## and ## ε_0 χ_e## can't be 0.
Hence, acc. to eq. 4.30,
A sphere with uniform polarization is not linear dielectrics.
Is this correct?
Following the definition of dielectrics given in Griffiths:
## \vec E = \frac {-P}{3 \epsilon_0} ##
So, ## \vec P ≠ ε_0 χ_e \vec E ## as ## ε_0 χ_e## can't be negative?
On the other hand, outside the dielectrics, ## \vec P is 0## , but ## \vec E is non-zero ## and ## ε_0 χ_e## can't be 0.
Hence, acc. to eq. 4.30,
A sphere with uniform polarization is not linear dielectrics.
Is this correct?