Question

maxwell second equation ?​

Answer 1

Answer:

hello mate

Explanation:

The second Maxwell equation is the analogous one for the magnetic field, which has no sources or sinks (no magnetic monopoles, the field lines just flow around in closed curves).

Therefore the net flux out of the enclosed volume is zero, Maxwell's second equation: ∫→B⋅d→A=0.

Answer 2

Explanation:

Maxwell second equation is based on Gauss law on magnetostatics.

Gauss law on magnetostatics states that “closed surface integral of magnetic flux density is always equal to total scalar magnetic flux enclosed within that surface of any shape or size lying in any medium.”

Mathematically it is expressed as –

∯B⃗ .ds=ϕenclosed —–(1)

Scalar Electric Flux () Scalar Magnetic Flux ()

They are the imaginary lines of force radiating in an outward direction They are the circular magnetic field generated around a current-carrying conductor.

A charge can be source or sink No source/sink

Hence we can conclude that magnetic flux cannot be enclosed within a closed surface of any shape.

∯ B⃗ .ds=0 ———(2)

Applying Gauss divergence theorem to equation (2) we can convert it(surface integral)

into volume integral by taking the divergence of the same vector.

⇒∯ B⃗ .ds=∭▽.B⃗ dv ——–(3)

Substituting equation (3) in (2) we get-

∭▽.B⃗ dv=0 ——-(4)

Here to satisfy the above equation either ∭dv=0 or ▽.B⃗ =0. The volume of any body/object can never be zero.

Thus, we arrive at Maxwell’s second equation.

▽.B⃗ =0

Where,

B⃗ =μH¯ is the flux density.

⇒▽.H⃗ =0 [solonoidal vector is obtained when the divergence of a vector is zero. Irrotational vector is obtained when the cross product is zero]