GATE EC 1994 Electromagnetics Solution Q 4

GATE EC 1994 Electromagnetics Solution Q 4

A uniform plane wave in air is normally incident on an infinitely thick slab. If the refractive index of the glass slab is 1.5, then the percentage of the incident power that is reflected from the air-glass interface is-

(a) 0

(b) 4

(c) 20

(d) 100

Ans : b)

Explanation

\sqrt{\frac{\in_2}{\in_1}}=1.5 \Gamma=\frac{1.5-1}{1.5+1}=\frac{0.5}{2.5}=\frac15 \left|\Gamma\right|=\frac15 \frac{P_r}{P_i}=\left|\Gamma\right|^2=\left(\frac15\right)^2=\frac1{25} P_r=\frac{P_i}{25}\times100\%=4\%of\;P_i

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