Consider the following statements regarding Maxwell’s Equations:1.Maxwell’s equations unify electric and magnetic field theories.2.Displacement current term was introduced to modify Ampere’s law.3.Time-varying electric field produces magnetic field.4.Maxwell equations apply only to static fields.Which of the above statements is/are correct?

Correct Answer: C - 1, 2 and 3 only

Quick Concept Explanation

Maxwell's equations unify electric and magnetic fields. Maxwell added displacement current to Ampere's law, showing that a time-varying electric field acts as a source of magnetic field. Key relation: ∇×H=J+∂D/∂t; ∇×E=−∂B/∂t.

Exam focus: Changing E produces H; changing B produces E. Common trap: Maxwell's equations are not limited to static fields.

Statement-wise Verification

• Statement 1 - Correct.
  Maxwell’s equations unify electric and magnetic field theories.
  Maxwell's equations unify electric and magnetic fields.
• Statement 2 - Correct.
  Displacement current term was introduced to modify Ampere’s law.
  Maxwell added displacement current to Ampere's law, showing that a time-varying electric field acts as a source of magnetic field.
• Statement 3 - Correct.
  Time-varying electric field produces magnetic field.
  Maxwell added displacement current to Ampere's law, showing that a time-varying electric field acts as a source of magnetic field.
• Statement 4 - Incorrect.
  Maxwell equations apply only to static fields.
  Maxwell's equations are explicitly valid for time-varying fields and describe electromagnetic waves

Core Concept

Maxwell's equations unify electric and magnetic fields. Maxwell added displacement current to Ampere's law, showing that a time-varying electric field acts as a source of magnetic field. Together with Faraday's law, this coupling predicts self-propagating electromagnetic waves.

Formula / Key Relationship

∇×H=J+∂D/∂t; ∇×E=−∂B/∂t.

Why the Other Options Are Wrong

Option A is incorrect because it omits correct statement(s) 1. Option B is incorrect because it includes incorrect statement(s) 4 and omits correct statement(s) 2, 3. Option D is incorrect because it includes incorrect statement(s) 4.

Exam Shortcut / Approach

Changing E produces H; changing B produces E.

Common Mistake

Maxwell's equations are not limited to static fields.

Quick Revision

Maxwell-Ampere Equation is linked with Displacement Current, Maxwell's Equations and Electromagnetic Fields. Changing E produces H; changing B produces E.