**E**.

**DL**= -∂/dt(θ) where θ is the magnetic flux intersecting the circuit and the integral is a closed line integral.

Lets say you have a very simple circuit of an inductor and a resistor connected together and the inductor was exposed to a linearly time varying magnetic field. There would then be an induced voltage across the inductor due to the changing magnetic field. This voltage would then be dropped across the resistor in accordance with Kirchoff's voltage law. At this time if you were to perform the closed line integral ∫

**E**.

**DL**on the circuit described would you not get zero? Surely this would be a contradiction of the maxwell's third equation. Clearly I am missing something here in that one of the above statements is erroneous.