Discussion
| List - I | List - II |
|---|---|
| a. \(\nabla \times \overline{H}\) | i. continuity equation |
| b. \(\nabla \times \overline{E}\) | ii. current density |
| c. \(\nabla \cdot \overline{D}\) | iii. Faraday's law of induction |
| d. \(\nabla \cdot \overline{J}\) | iv. Gausses law |
Codes : a b c d
Answer: B
The matching is: a curl of H with current density (ii), b curl of E with Faraday's law of induction (iii), c divergence of D with Gauss's law (iv), d divergence of J with the continuity equation (i), the code ii iii iv i (option B).
These are Maxwell's equations and the continuity equation \(\nabla\cdot\overline{J} = -\partial\rho/\partial t\). The curl of H equals the current density plus the displacement term, and the curl of E equals the negative rate of change of B. Options A, C and D swap Gauss's law with the continuity equation or the two curl equations.
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