Question

If \( \vec{D} = \epsilon \vec{E} \) and \( \vec{V} = \sigma \vec{E} \) in a given material, the material is said to be:

• A. Linear and Isotropic
• B. Linear and homogeneous
• C. Isotropic only
• D. Isotropic and homogeneous

Hint:

Linear material: response ∝ excitation.
Isotropic material: response same in all directions.

Answer 1

The Correct Option is A

When \( \vec{D} = \epsilon \vec{E} \) and \( \vec{V} = \sigma \vec{E} \), it indicates:
- Linear relationship (since no powers, squares, or non-linear terms involved)
- Isotropy (response same in all directions for a given field)