Equivalent Loads?

In the diagram, the ideal three-phase voltage sources have the following values:

V A B = 10 0 V B C = 10 120 V C A = 10 12 0 \large{\vec{V_{AB}} = 10 \angle 0^\circ \\ \vec{V_{BC}} = 10 \angle {-120}^\circ \\ \vec{V_{CA}} = 10 \angle 120^\circ }

The load connection terminals are marked a , b , c , n a,b,c,n . The red connecting wires are ideal. Consider the two scenarios shown below. In each case, the load draws currents ( I A , I B , I C ) (\vec{I_A}, \vec{I_B}, \vec{I_C} ) . Call the two loads "equivalent" if ( I A , I B , I C ) (\vec{I_A}, \vec{I_B}, \vec{I_C} ) are the same for both scenarios (to within 1 milli-amp on each phase, after vector subtraction).

Are the loads from Scenario 1 and Scenario 2 "equivalent"?

Scenario 1

Z a b = 10 + j 0 Z b c = 10 + j 0 Z c a = 10 + j 0 Z a n = Z b n = Z c n = \large{\vec{Z_{ab}} = 10 + j \, 0 \\ \vec{Z_{bc}} = 10 + j \, 0 \\ \vec{Z_{ca}} = 10 + j \, 0 \\ \vec{Z_{an}} = \infty \\ \vec{Z_{bn}} = \infty \\ \vec{Z_{cn}} = \infty }

Scenario 2

Z a b = Z b c = Z c a = Z a n = 5 + j 0 Z b n = 2.5 + j 1.443 Z c n = 2.5 j 1.443 \large{\vec{Z_{ab}} = \infty \\ \vec{Z_{bc}} = \infty \\ \vec{Z_{ca}} = \infty \\ \vec{Z_{an}} = 5 + j \, 0 \\ \vec{Z_{bn}} = 2.5 + j \, 1.443 \\ \vec{Z_{cn}} = 2.5 - j \, 1.443 }

No Yes

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