Faraday’s law gives EMF as the voltage measured across the 2 terminals (A and D in Figure 1) of a loop under the induction of a varying magnetic field. Partial voltage between 2 intermediate points in the loop does exist, but is impossible to measure with a voltmeter. In Figure 1, a voltmeter connected to two arbitrary points B and C, will read the voltage induced by the magnetic field passing through the surface in grey. If the surface is reduced to zero, the voltmeter would read 0. This is why no study of partial voltage exists until now. I propose here an experiment to measure the partial voltage.
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Partial EMF measurement