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The law that is a symmetrical counterpart of Faraday's law of electromagnetic induction is

  • A.Ampere-Maxwell law
  • B.Gauss law
  • C.Lenz's law
  • D.Ampere's circuital law
  • E.Coulomb's law

Answer: A

The symmetrical counterpart is the Ampere-Maxwell law.

Faraday's law says a changing magnetic flux produces an electric field (an induced emf). Maxwell's addition to Ampere's law, the displacement current, says a changing electric flux produces a magnetic field:

\[ \begin{aligned} &\oint \vec{B}\cdot d\vec{l} \\ &= \mu_0\left(I + \varepsilon_0\frac{d\Phi_E}{dt}\right) \end{aligned} \]

The two laws mirror each other, which is what allows electromagnetic waves. Ampere's circuital law without Maxwell's term has no changing-field part; Gauss's law and Coulomb's law concern static charges, and Lenz's law only gives the direction of the induced current.

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