Okay. So, none of you, neither ogden or jesuscf are able to provide an equivalent circuit that reproduces Dr. Lewins experiment, right? And your whole defence to why you cannot do it boils down to "Lewin is an idiot!" 
PS: before you go about bringing "stray magnetic flux" into the game again, watch this video maybe:
https://youtu.be/u6ud7JD0fV4
Ring core transformer, magnetic flux well confined inside the core. But the outcome is the same.
Here, allow me to debunk the MIT guys from the video link you posted above.
With the toroid core I just received, I prepared a setup similar to the one in the video. Here is a sketch of the circuit:

Instead of making a hole through the toroid to pass a wire to measure the voltage from node A to D without an induced EMF in the voltmeter probes, I used the balanced circuit composed by the two 10kOhm resistors. Whatever voltage is induced in the left 10kOhm resistor is canceled by the voltage induced in the right 10kOhm resistor and the net EMF induced in the red probe wire is zero. The total measured EMF is 67.6mV (RMS). The equivalent circuit we need to solve is (sorry, the polarity of the sources is swapped in the circuit diagram, so fix the polarity before getting the equations):

As usual, calculate the current first:
\$
\begin{array}{l}
EMF = 67.6mV \\
I = \frac{{67.6mV}}{{100\Omega + 910\Omega }} = 66.93\mu A \\
\end{array}
\$
With the current we can calculate the voltage drop in the resistors:
\$
\begin{array}{l}
V_{R1} = 66.93\mu A \times 100\Omega = 6.693mV \\
V_{R2} = 66.93\mu A \times 910\Omega = 60.91mV \\
\end{array}
\$
Using the left half or the right half of the circuit we can calculate the voltage V
AD (there is an error in the circuit diagram, the polarity of the sources is the other way around):
\$
\begin{array}{l}
V_{AD} = 33.8mV - 66.93\mu A \times 100\Omega = 27.11mV \\
V_{AD} = 66.93\mu A \times 910\Omega - 33.8mV = 27.11mV \\
\end{array}
\$
These are the voltages I measured:
\$
\begin{array}{l}
V_{R1} = 6.44mV \\
V_{R2} = 61.15mV \\
V_{AD} = 27.16mV \\
\end{array}
\$
Look at that:
KVL works again!!! 
Here is a picture of the measured V
R1 and V
R2 voltages:

Here is a picture of the measured V
AD voltage:

Here is a view of the setup from the left (yes, those are chopsticks):

Here is a view of the setup from the right:

Hey team Lewin, show us your experiments please! We are waiting!