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Boundary current source vs electric potential source

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Hello,

I have a question about the AC/DC module -> Electric currents.

I made a simple model of a spherical homogenous volume conductor. Inside this sphere I added a cylinder along the 3-axes. On the 2 ends of the cylinder I added 2 small round contact point (electrodes).
The contact points, cylinder and sphere all have different conductivity.
(I hope this clear, otherwise I need to add a picture somehow)

On one of the round contacts I added a boundary current source (1 A/m^2) and computed the model. This resulted in a certain voltage (4 V) on this round contact and a certain outflow of current through the surface of the sphere.
Now I removed the boundary current source on that contact and added an electric potential of 4V on the boundary. This did not result in the same current outflow through the surface of the sphere.

I think this is strange. Is my reasoning wrong or is there something wrong in the model?

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