The impedance can be written: Z=\\sqrt{{\\mu\\over\\epsilon}}=Z_0\\sqrt{{K_m \\o
ID: 2071646 • Letter: T
Question
The impedance can be written: Z=sqrt{{muoverepsilon}}=Z_0sqrt{{K_m over K_e}}, whereK_e and K_m are the relative permittivity and relative permeability respectively of the medium, and Z_0=sqrt{{mu_0 over epsilon_0}}=377 Omega is the impedance of free space.1) Calculate the impedance of a type of glass which has K_m=1 and K_e=2.25.
Answer is in Ohms.
2) Calculate the reflection coefficient for light in vacuum that hits a glass window.
3) What percentage of the light is hence reflected?
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Explanation / Answer
1. impedence Z1= Z0sqrt(1/2.25)=Z0/1.5 = Z0 = sqrt(10-7*4pi)/1/4pi*109) = 376.73 net impedencede = 376.73/1.5 = 251.15 ohm 2.. reflection coeff = (Z1-Z0)/Z0+Z1 = -125.58/627.88 = -0.199 3 ... hence nearly 20% is reflected
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