1. Gauss’s Theorem
  2. Noether’s Theorem
  3. Maxwell’s Theorem
  4. Gauge’s Theorem
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1 Answers

Option 2 : Noether’s Theorem

CONCEPT:

Gauss Law :

  • Gauss Law states that the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.

Noether's theorem or Noether's first theorem:

  • According to Noether’s theorem, the differentiable symmetry of actions in the case of a physical body depends on the related conservation law.
  • In the case of charge conservation, the theorem is proved via integral over space or charge density.
  • The physical system and its existing orientation in space prove the Lagrangian rotationally symmetric.
  • That means charge conservation is the consequence of invariance in the EM field.

Maxwell's reciprocal theorem:

  • In any beam (or) truss, the deflection at any point C due to load W at any point B is the same as the deflection at B due to the same load W applied at C.

Gauge theory 

  • A gauge theory is a type of field theory in which the Lagrangian does not change (is invariant) under local transformations from certain Lie groups.

EXPLANATION:

  • From above it is clear that charge conservation is related to Noether's theorem. Therefore option 2 is correct.
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