StreakPeaked· Practice

ExamsGATETechnical

A uniform plane wave in the free space is normally incident on an infinitely thick dielectric slab (dielectric constant εr = 9). The magnitude of the reflection coefficient is

  1. (A) 0
  2. (B) 0.3
  3. (C) 0.5
  4. (D) 0.8

Correct answer: (C) 0.5

Solution

The reflection coefficient for a wave incident on a dielectric interface can be calculated using the formula R = |(η1 - η2) / (η1 + η2)|, where η1 is the impedance of free space and η2 is the impedance of the dielectric. Given the dielectric constant εr = 9, the impedance of the dielectric is lower than that of free space, resulting in a reflection coefficient of 0.5.

Related GATE Technical questions

⚔️ Practice GATE Technical free + battle 1v1 →