Topic: Electromagnetics
If the short circuit and open circuit impedance of line are 5 and 20 respectively the characteristic impedance is given by
- A. 100 Ω
- B. 10 Ω
- C. 15 Ω
- D. 10000 Ω
Answer: B. 10 Ω
Explanation: The characteristic impedance of a transmission line can be found using the geometric mean of its open-circuit and short-circuit impedances: $Z_{0}=\sqrt{Z_{OC}\cdot Z_{SC}}$. Substituting the given values, $Z_{0}=\sqrt{20\times5}=\sqrt{100}=10~\Omega$.