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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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