CBSE · Class 12 · Physics · Electromagnetic WavesWhich of the following equations represents Maxwell's modification of Ampere's circuital law?
Step-by-Step Solution
Maxwell found that Ampere's circuital law was inconsistent for non-steady currents. He introduced the displacement current to make it consistent, resulting in the equation $\oint \vec{B} \cdot d\vec{l} = \mu_0 i_c + \mu_0 \varepsilon_0 \frac{d\Phi_E}{dt}$.
Detailed Options Breakdown
Option : $\oint \vec{B} \cdot d\vec{l} = \mu_0 i_c$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electromagnetic Waves.
Option 1: $\oint \vec{B} \cdot d\vec{l} = \mu_0 i_c + \mu_0 \varepsilon_0 \frac{d\Phi_E}{dt}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $\oint \vec{B} \cdot d\vec{l} = \varepsilon_0 \frac{d\Phi_E}{dt}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electromagnetic Waves.
Option 3: $\oint \vec{E} \cdot d\vec{l} = -\frac{d\Phi_B}{dt}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electromagnetic Waves.
💡 Study Guide: This question tests core syllabus concepts from Electromagnetic Waves. For formulas, key summaries, and mock exam reference guides, read the full Electromagnetic Waves Revision Notes.