Question

The plane 𝑧=0 separates two linear dielectric media with relative permittivities 𝜀_𝑟1=4 and 𝜀_𝑟2=3, respectively. There is no free charge at the interface. If the electric field in the medium 1 is 𝐸⃗ ₁=3𝑥̂+2𝑦̂ +4𝑧̂, then the displacement vector \(\overrightarrow{D_2}\) in medium 2 is: (𝜀₀ is the permittivity of free space)

• A. (3𝑥̂ + 4𝑦̂ + 6𝑧̂)𝜀₀
• B. (3𝑥̂ + 6𝑦̂ + 8𝑧̂)𝜀₀
• C. (9𝑥̂ + 6𝑦̂ + 16𝑧̂)𝜀₀
• D. (4𝑥̂ + 2𝑦̂ + 3𝑧̂)𝜀₀

Answer 1

The Correct Option is C

The correct option is (C): (3𝑥̂ + 6𝑦̂ + 8𝑧̂)𝜀₀