Question

write down the Maxwell's electromagnetic equations in differential and integral form​

Answer 1

Maxwell's electromagnetic equations:

Maxwell's first equation:

Integral form:

$\int \vec{E}. d \vec{A} = \frac{q} {\epsilon_0}$

Differential form:

$\vec{ \triangledown}.\vec{E} = \frac{p} {\epsilon_0}$

Maxwell's second equation:

Integral form:

$\int \vec{B}. d \vec{A} = 0$

Differential form :

$\vec{\triangledown}.\vec{B} =0$

Maxwell's third equation:

Integral form:

$\int \vec{E}. d \vec{A} = \frac{-d} {dt}\int \vec{B}. d \vec{A}$

Differential form :

$\vec{\triangledown}\times \vec{E} = \frac{-d \vec{B}} {dt}$

Maxwell's fourth equation:

Integral form:

$\int \vec{B}. d \vec{S} = \mu_0 i$

Differential form:

$\vec{\triangledown}\times \vec{B} =\mu_0j$