Question

• 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.

Answer 1

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

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

$\triangledown . B =0$

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

$\triangledown \times B = \mu_o J+\mu_o\epsilon_o\frac{\partial E }{\partial t}$

i)

• Gauss's law is true for the closed surface.
• It does not depend on the shape and size.
• $Q_{enclose}$ 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.