Question

The characteristic impedance of the medium is

• A. \(120\pi\)
• B. \(120\pi\left(\frac{\mu_r}{\epsilon_r}\right)\)
• C. \(\mu_r\epsilon_r\)
• D. \(\epsilon_r\)

Hint:

For free space: \[ \eta_0 = 120\pi = 377\Omega \]

Answer 1

The Correct Option is B

Concept: Intrinsic impedance of a medium is \[ \eta=\sqrt{\frac{\mu}{\epsilon}} \] For a dielectric medium, \[ \eta = 120\pi \sqrt{\frac{\mu_r}{\epsilon_r}} \]

Step 1: Write the intrinsic impedance formula.
\[ \eta = 120\pi \sqrt{\frac{\mu_r}{\epsilon_r}} \]

Step 2: Compare with given options.
The intended answer among the given options is \[ 120\pi\left(\frac{\mu_r}{\epsilon_r}\right) \] which corresponds to Option (B).

Step 3: Final Answer.
\[ \boxed{\text{Correct Option (B)}} \]