No, my friend, metal case body is grounded, and ground will make protection in situation when live wire (hot) touch device metal case. Additional to this, its good to use "differential current monitoring switch".
Neutral is grounded only on one place, and that can be in house place where is electrical counting device or in front of house electrical connection place. After that you dont do grounding of neutral that can be dangerous, even you can cause fire or deadly malfunction of electrical counting device.
I hope that you will do only in Proteus simulation. :wink:
European electrical wall plug type :
US electrical wall plug type :
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Bad electrical wall plug (dont have earth connection) :
Also there is many other types variants of plugs and connectors, different to each country standard. But always wall plug should have Earth/Ground connection.
Specially in situation when plastic device case is use, then often devices have only Live wire and Neutral connections on device plug cable or direct output on case as this picture shows:
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Additional materials resources:
http://www.cyberphysics.co.uk/topics/electricity/home/earthing.htm
http://www.frankswebspace.org.uk/ScienceAndMaths/physics/physicsGCSE/earthing.htm