Can Power Absorbed by 5G1 be 0 in this Circuit?

[EvLer]

Hi all,
I have a question on nodal analysis,
if I have the following part of a circuit

I -->
-G1-------N----5G1-----
          |            |+
         G1          ideal volt source
          |            |-

 G    R    O    U     N   D

Is it possible that power absorbed by 5G1 is 0, i.e. voltage on the node N = voltage of the ideal voltage source? That's what I have, and not sure that it's possible. Thanks in advance.

 

[eetwonder]

When the voltage at the node n=the ideal voltage source, it looks like a short between tow points to me. A short, if the internal resistance is undetectable, then there is no energy loss which I will say it is possible for 5G1=0.