Question

The plane 𝑧=0 separates two linear dielectric media with relative permittivities 𝜀𝑟1=4 and 𝜀𝑟2=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

Answer: (C)

(9𝑥̂ + 6𝑦̂ + 16𝑧̂)𝜀0

Answer 2

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