Question

explain guass law in magnetism​

Answer 1

Answer:

In physics, Gauss's law for magnetism is one of the four Maxwell's equations that underlie classical electrodynamics. It states that the magnetic field B has divergence equal to zero, in other words, that it is a solenoidal vector field. It is equivalent to the statement that magnetic monopoles do not exist.

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Answer 2

Gauss law states that total flux enclosed by a gaussian surface is $\dfrac{1}{Eo}$ times the total charge.

ØE = q/Eo

Proof :-

ØE = $\int{E.ds}$

➝ ØE = $\int{Eds cos{\theta}}$

$\theta$ = 0°

Cos $\theta$ = 1

➝ ØE = $\oint{Eds cos{\theta}}$

➝ ØE = $\oint{Eds}$

➝ ØE = E $\oint{ds}$

{E = Constant Electic Field}

➝ ØE = E. 4πr² .........(1)

E = $\dfrac{1}{4{\pi{Eo}}} \dfrac{q}{r^2}$ ........(2)

Using 2 in 1,

➝ $\dfrac{1}{4{\pi{Eo}}}$ $\dfrac{q}{r^2}$ × 4πr²

➝ ØE = q/Eo

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