# Won't back emf in an inductor induces an emf again?

When an inductor is connected to a DC source, current starts passing through inductor. This generates magnetic field so flux associated with inductor changes. So a back emf is generated. As a result net emf decreases and so does current and magnetic field intensity. So magnetic flux change is there. Won't again an emf be induced in such a way to oppose the back emf? Thinking that all these happens in small time interval......

Yes. That's why you need a differential equation $$L \frac{dI}{dt}= V,$$ whose solution (with $$I=0$$ at $$t=0$$) is $$I=Vt/L$$.
• It tells you what the current in amps is at a time $t$ after you connect the DC voltage $V$ across the inductor. $L$ is the inductance in henrys. Commented Aug 26, 2020 at 16:12
• It's the answer to what you were asking. At each point the back EMF must be is equal to the applied EMF (Kirchhoff Voltage law) and so $I$ increases to keep it so. If it is not the answer, then your question is unclear. Commented Aug 26, 2020 at 17:01