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Discuss analogies and differences between Gauss’s law and ampere’s law.

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Analogies between Gauss’s law and Ampere’s law:

  1. Gauss’s law says the electric flux through a closed surface is proportional to the charge within the surface.Ampere’s law says the line integral of B.ds around a close path is proportional to the current that passes through that path.
  2. In Gauss’s law,the imaginary and arbitrary closed surface is taken enclosing a charge.In ampere’s law ,an imaginary and arbitrary closed curve enclosing current is taken.
  3. Both laws use the concept of flux the flow of field lines through a surface to determine the field strength.
  4. They also both relate the integral of the field over a closed geometrical figure to a fundamental constant multiplied by the source of the appropriate field.

Differences between Gauss’s law and Ampere’s law:

  1. Gauss’s law is for electrostatic and Ampere’s law is for magnetism.
  2. Gauss’s law is used to calculate electric field by a certain charge configuration while Ampere’s law is used to measure the magnetic field due to current.
  3. The geometrical figure is a surface for Gauss’s law and a line for Ampere’s.

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