According to Gauss' law for magnetism, the second equation of Maxwell's Equations shown below, magnetic field lines ∮ E → ⋅ d → A → = q / ϵ ∮ B → ⋅ d A → = 0 ∮ B → ⋅ d A → = 0 ∮ E → ⋅ d s → = − d Φ B / d t ∮ B → ⋅ d s → = μ 0 i + μ 0 ϵ 0 d Φ E / d t

Question

According to Gauss&#039; law for magnetism, the second equation of Maxwell&#039;s Equations shown below, magnetic field lines  ∮            E      →        ⋅            d      →                  A      →        =  q      /    ϵ  ∮            B      →        ⋅  d            A      →        =  0  ∮            B      →        ⋅  d            A      →        =  0    ∮            E      →        ⋅  d            s      →        =  −  d      Φ    B        /    d  t    ∮            B      →        ⋅  d            s      →        =      μ    0    i  +      μ    0        ϵ    0    d      Φ    E        /    d  t

Alaina Mcintosh · Accepted Answer

Gauss law of magnetism states that the divergence of the magnetic field vector is zero or is expressed mathematically as,   ∮            B      →        ⋅  d            A      →        =  0 where dA represents the area vector . This law signifies that magnetic monopoles do not exist i.e., the magnetic field lines originate from the north pole and go to the south pole forming a closed loop.

According to Gauss' law for magnetism, the second equation of Maxwell's Equations shown below, magnetic field lines oint vec(E) * vec(d) vec(A)=q/epsilon_0 oint vec(B) * d vec(A)=0 oint vec(E) * d vec(s)=-d Phi_B /dt\\ oint vec(B) * d vec(s)=mu_0 i + mu_0 epsilon_0 d Phi_E /dt

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