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2009 mid-term examination (100)                           Microwave Engineering                                           ...
1+ ΓVSWR =         1 − Γ (10)
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2009-1 중간고사문제(초고주파공학)

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2009-1 중간고사문제(초고주파공학)

  1. 1. 2009 mid-term examination (100) Microwave Engineering Date: April 24, 2009.1. Consider a sinusoidal wave function. Show that sin(ωt − kz )] is a wave function and find out the direction of propagation. Hint:) set t = 0, z = 0 and increase time while tracing a wavefront of sin(ω ⋅ 0 + k ⋅ 0) . (20) Z − Z02. Consider a coaxial line with Z 0 = 50Ω, f = 12.4 [GHz], Γ = L Z L + Z 0 (80) 1)Calculate the reflection coefficient, Γ in terms of the magnitude and phase when a resistor, R = 5 [Ω] is attached. (10) 2)Calculate the reflection and transmission powers for problem 1) when Pi = 20 [dBm] . Hint:) PR =| Γ | 2 Pi , PT = (1− | Γ | 2 ) Pi , dBm = 10 log10 ( P / 1mW ) or P = 1mW * 10 dBm / 10 (20) 3)Calculate the reflection coefficient, Γ in terms of the magnitude and phase when an inductor, L = 0.5[nH ] is attached. Hint:) Z L = jωL (20) 4)Calculate the reflection coefficient, Γ in terms of the magnitude and phase when a real inductor, L = 0.5[nH ] and R = 20 [Ω] is attached. Hint:) Z L = R + jωL (20) 5)Calculate the VSWR (Voltage Standing Wave Ratio) for problem 4). Hint:)
  2. 2. 1+ ΓVSWR = 1 − Γ (10)

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