Question

Write Maxwell's equations in both differential and integral forms. Explain the physical significance of the displacement current in Maxwell's modification of Ampere's law.

19 Jan 2026
Answer :
Word Count : 532
Classical electrodynamics is founded on Maxwell’s equations, which provide a complete macroscopic description of electric and magnetic fields and their sources. In differential form, Gauss’s law for electricity states that the divergence of the electric field equals the volume charge density divided by the permittivity of free space, ∇·E = ρ/ε₀. This expresses the local relation between electric fields and charges. In integral form, the same law states that the total electric flux through any closed surface equals the enclosed charge divided by ε₀, ∮ E·dA = Q_encl/ε₀, emphasizing the global flux–charge relationship. Gauss’s law for magnetism reflects the nonexistence of magnetic monopoles. In differential form it is written as ∇·B = 0, indicating that magnetic field lines have no beginning or
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