Electromagnetics

Concept: A transmission line is characterized by primary constants: resistance ( ), inductance ( ), conductance ( ), and capacitance ( ). The characteristic impedance depends on these parameters.
Step 1: General formula.

Step 2: Lossless condition.
For a lossless line:
Step 3: Simplified formula.

Step 4: Conclusion.
Thus, the characteristic impedance of a lossless transmission line is .

Concept: Maxwell’s equations describe the behavior of electric and magnetic fields. One of these equations represents Faraday’s Law of Electromagnetic Induction.
Step 1: Understanding Faraday’s Law.
Faraday’s Law states that a changing magnetic field induces an electric field.
Step 2: Mathematical expression.

Step 3: Interpretation.

• Time-varying magnetic field produces a circulating electric field
• Basis of transformers, generators, and inductors

Step 4: Eliminating other options.

• (A): Gauss’s Law (electric field)
• (B): Gauss’s Law for magnetism
• (D): Ampere-Maxwell Law

Step 5: Conclusion.
Thus, represents Faraday’s Law.