When a magnetic field is time-varying, then Faraday's Law can be used to define a conservative field with which a scalar potential can be associated. 1
When a circuit loop deforms, the flux through it changes, and an electric field is induced. Much like in the case of a changing B field, this field is nonconservative. Can Faraday's Law be applied here to define a scalar potential as well? If not, is there any way to define an electric scalar potential in this case?