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Match the equation with what it states.

1. \( \nabla \cdot \mathbf{D} = \rho_v \)   2. \( \nabla \times \mathbf{E} = -\partial\mathbf{B}/\partial t \)   3. \( \nabla \cdot \mathbf{B} = 0 \)

P. No magnetic monopole exists   Q. Charge is the source of electric flux   R. A changing magnetic field induces an electric field

  • A.1-Q, 2-P, 3-R
  • B.1-P, 2-R, 3-Q
  • C.1-Q, 2-R, 3-P
  • D.1-R, 2-Q, 3-P

Answer: C

The four equations divide neatly into two statements about sources and two about how the fields generate one another. It is the second pair that makes waves possible, and the third equation's zero is what distinguishes magnetism from electricity.

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