Nop. Kirchoff's actual law holds only for conservative electric field which is not the case for induced emfs.

So according to faraday's law "closed loop integral of E.ds = -d(phi)/dt ", also  you can use -d(phi)/dt = Ldi/dt or M di/dt . But most books dont care about this and use standard kirchoff's law so it is sometimes called the modified kirchoff's law. Note that many books dont mention this and they all are wrong including HC Verma. If they apply kirchoff's law , are they saying that work done on the closed path of the circuit is zero, representing a conservative force? But the induced electric field is infact non conservative because of Faradays law.

hey conjurer but inside a metal wire everything becomes conservative doesnt it??