When an ac square wave (peak to peak 1v) is connected in series with a dc source (0.5v) across the primary of a transformer, would only the square wave get through to the secondary resulting in a peak voltage of 0.5v? This confuses me since when you give the primary pulsating dc at 1v (thats the same?) that seems to not be the case. Is the dc somehow getting through to the secondary? Thanks in advance!

 

Only the AC will get through.
The DC will drive a DC current through the primary depending on its resistance. If this current is high enough then it may saturate the core and seriously affect the output from the secondary. Ultimately, if the DC current is big enough it can burn out the primary.

Class A audio amplifiers have a standing DC current flowing in the primary of the output transformer but this current is controlled and won't cause any problem.
This site discusses Class A amplifiers and, if you scroll down a bit, it shows a transformer coupled version.

 

Only the AC will get through.
The DC will drive a DC current through the primary depending on its resistance. If this current is high enough then it may saturate the core and seriously affect the output from the secondary. Ultimately, if the DC current is big enough it can burn out the primary.

Class A audio amplifiers have a standing DC current flowing in the primary of the output transformer but this current is controlled and won't cause any problem.
This site discusses Class A amplifiers and, if you scroll down a bit, it shows a transformer coupled version.

Thank you for the reply!