Here in this picture

you can see I_W which is induced by H. But why I_W is not vice versa? Because of $$rot \, \vec B = \mu_0 \, \left( \varepsilon_0 \frac{\partial E}{\partial t} + \vec j \right)$$ ? Maybe I have to use $$\oint E \, dr = - \int \frac{\partial B}{\partial t} \, dA = U_{induced}$$