1.

Demonstratethat thelaw of electriccharge conservation, i.e.,grad. J = -del rho//del t, follows fromMaxwell's equactions.

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Solution :From the equction `CURL vec(H) - (del vec(D))/(del t) = vec(j)`
we get on takingdivergence of both sides
`- (del)/(del t)` DIV `vec(D) = di v vec(j)`
But div `vec(D) = rho` and hence div `vec(j) + (del rho)/(del t) = 0`


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