or a transmission line, Zo =Select one:a. square root of ( Zsc / Zoc )b. square root of ( Zoc / Zsc )c. Zoc / Zscd.  Zsc / Zoc

Break Down the Problem

1. Identify the relevant terms:

   • $Z_o$: Characteristic impedance of the transmission line
   • $Z_{sc}$: Short-circuit impedance
   • $Z_{oc}$: Open-circuit impedance

2. Understand the relationships between these terms:

   • The characteristic impedance $Z_o$ depends on the short-circuit and open-circuit impedances.

Relevant Concepts

The characteristic impedance for a transmission line is defined by the relationship: $Z_o = \sqrt{\frac{Z_{oc}}{Z_{sc}}}$

Analysis and Detail

1. Given the options:

   • a. $Z_o = \sqrt{\frac{Z_{sc}}{Z_{oc}}}$
   • b. $Z_o = \sqrt{\frac{Z_{oc}}{Z_{sc}}}$ (This is the correct formula)
   • c. $Z_o = \frac{Z_{oc}}{Z_{sc}}$
   • d. $Z_o = \frac{Z_{sc}}{Z_{oc}}$

2. Compare each option with the relevant concept to determine which one correctly applies.

Verify and Summarize

The correct formulation from above shows that the appropriate expression for the characteristic impedance $Z_o$ is given by option (b).

Final Answer

The correct answer is b. $\sqrt{\frac{Z_{oc}}{Z_{sc}}}$.