In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell's equations (in their standard form). Match the left-hand side with the corresponding right-hand side.

List I:
1. ∇ · D
2. ∇ × E
3. ∇ · B
4. ∇ × H

List I

Question

In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell's equations (in their standard form). Match the left-hand side with the corresponding right-hand side.

List I:
1. ∇ · D
2. ∇ × E
3. ∇ · B
4. ∇ × H

List II:
P. 0
Q. ρ
R. −∂B/∂t
S. J + ∂D/∂t

Accepted Answer

1 - Q, 2 - R, 3 - P, 4 - S. The correct option matches the divergence of the electric displacement field (∇ · D) to charge density (ρ), the curl of the electric field (∇ × E) to the negative rate of change of the magnetic field (−∂B/∂t), the divergence of the magnetic field (∇ · B) to zero, and the curl of the magnetic field (∇ × H) to the sum of current density (J) and the rate of change of the electric displacement field (∂D/∂t), which aligns with Maxwell's equations.

Solution

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