The Iron Curtain was both a speech made by Winston Churchill in Missouri, and a PHYSICAL wall/barbed wire separating the Eastern Europe and Western Europe.The Berlin Wall was just a wall that separated the Eastern and Western BERLIN. Am I right?
No. There was no physical manifestation of the Iron Curtain as such. It was an expression meaning that Stalin had separated the countries of the Soviet Bloc from the rest of Europe and was denying them their own elected governments and freedom of movement to other countries, and denying free access to these countries by people from the West. There was a guarded border between the Soviet Bloc countries and the rest of Europe, but then border crossing points between most countries are guarded. The Berlin Wall was a physical barrier that separated East and West Berlin.
The Iron Curtain that most people mention is indeed the metaphorical one that Churchill mentioned, but there was also a physical aspect to it. The many countries that were members of the Warsaw pact had defensive barriers along their borders with Western countries. These areas were miles deep in some instances and shooting incidents were not uncommon. They were some of the most highly militarized areas in the world at the time that they existed. The term Iron Curtain was used exclusively for the borders between Eastern and Western European nations, while the term Bamboo Curtain was used in reference to the borders amongst Capitalist and Communist states in Asia.
The Iron Curtain was more of an expression coined by Churchill (just like you said) & the Berlin Wall was definitely a physical symbol of it, although Berlin itself was inside east Germany. But whether it represents an actual physical fence across Europe, is a moot idea at best... all communist east block nations bordering the west had some kind of fence or wall to mark the border. The Iron Curtain would be the border itself; just words to describe it.
The Iron Curtain was a metaphor for the ideological battle in Europe between the Capitalist West and the Communist East. The Berlin Wall was considered the physical manifestation of that metaphor, as it represented a wall separating two different ideologies; The Cold War was considered over by a few experts after the fall of the Berlin Wall, as it represented the Iron Curtain falling. So, You can argue that they are related.