Answer to Question #209840 in Electricity and Magnetism for Kabir

Question #209840
  • To take Maxwell’s equations in differential form as example:
  1. Please briefly describe the physical significance of Gauss’s law for electrical fields.

2. Please briefly describe the physical significance of Faraday’s law of electromagnetic induction.


1
Expert's answer
2021-06-28T01:03:13-0400

The maxwell's equation in the differential form is given below -

.E=ρϵo\triangledown . E = \frac{\rho }{\epsilon_o}

.B=0\triangledown . B =0

×E=Bt\triangledown \times E =- \frac{\partial B}{\partial t}

×B=μoJ+μoϵoEt\triangledown \times B = \mu_o J+\mu_o\epsilon_o\frac{\partial E }{\partial t}

i)

  • Gauss's law is true for the closed surface.
  • It does not depend on the shape and size.
  • QencloseQ_{enclose} is representing the sum of the charges in the closed surface. It does not matter about the position of the charge in the closed surface.

ii)

  • It predicts that how a electromagnetic field interact with electric circuit to produce electromotive force.
  • The phenomenon to the interaction of the electric circuit is known as the electromagnetic induction.

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