thanks dude.Are you sure Vr is DC? If Vs is also DC, then with S2 open (as you described) there will be no voltage on N2:
1. because S2 is open
2. because Vs is DC, so there will be a DC current through N1 but no energy transfer from N1 to N2.
Where does this picture come from? Isn't this for dynamic analysis, like what happens when I close / open this switch? In this case it'd be a different story.