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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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For air, the Maxwell's equation hold true is
Curl(H) = 0
Div(H) = 0
Grad(H) = 0
Div(H) = 1
Div(H) = 0
Maxwell's equation for the divergence of the magnetic flux density, ∇⋅B=0, implies that there are no isolated magnetic charges (monopoles). Since B=μ0H in air (a non-magnetic medium), this equation directly translates to ∇⋅H=0.
Maxwell's equation for the divergence of the magnetic flux density, ∇⋅B=0, implies that there are no isolated magnetic charges (monopoles). Since B=μ0H in air (a non-magnetic medium), this equation directly translates to ∇⋅H=0.
∇⋅B=0 — Gauss's Law for Magnetism
B=μ0H — Constitutive relation in air
Gauss's Law for Magnetism is derived from the fact that magnetic field lines are always continuous closed loops. Because no magnetic monopole has ever been observed, the net magnetic flux out of any closed surface is always zero, mathematically expressed as the divergence of the magnetic field vector being null.
The divergence of the magnetic field B is always zero, indicating the absence of magnetic monopoles.
The magnetic field intensity H is related to flux density B by the permeability of the medium.
Air is treated as a non-magnetic medium with permeability μ≈μ0.
Ensures consistency with physical reality of closed magnetic flux loops.
Simplifies electromagnetic boundary value problems.
Antenna design
Electromagnetic wave propagation analysis
Transformer and motor core design
Option A (∇×H=J+∂t∂D) is the Ampere-Maxwell law, not zero.
Option C refers to gradient, which is a vector field operation usually applied to scalar potentials.
Option D is physically impossible as it would imply a magnetic source density of 1.
B is correct — The divergence of the magnetic field intensity (∇⋅H) is zero in air, consistent with the non-existence of isolated magnetic charges.
Always remember that the divergence of the magnetic field is zero (∇⋅B=0) while the divergence of the electric field is proportional to charge density (∇⋅D=ρv).