<P> If the path Σ is not changing in time, the equation can be rewritten: </P> <Dl> <Dd> ∮ ∂ Σ E ⋅ d l = − d d t ∫ Σ B ⋅ d A . (\ displaystyle \ oint _ (\ partial \ Sigma) \ mathbf (E) \ cdot d \ mathbf (l) = - (\ frac (d) (dt)) \ int _ (\ Sigma) \ mathbf (B) \ cdot d \ mathbf (A).) </Dd> </Dl> <Dd> ∮ ∂ Σ E ⋅ d l = − d d t ∫ Σ B ⋅ d A . (\ displaystyle \ oint _ (\ partial \ Sigma) \ mathbf (E) \ cdot d \ mathbf (l) = - (\ frac (d) (dt)) \ int _ (\ Sigma) \ mathbf (B) \ cdot d \ mathbf (A).) </Dd> <P> The surface integral at the right - hand side is the explicit expression for the magnetic flux Φ through Σ . </P>

Information about generation of current by using faradays law