In current times, Europe is growing faster then US economy. How will this effect the supply/demand in the foreign currency exchange rate for dollar/Euro???

Wow! You need to learn the difference between "then" and "than" as well as "effect" and "affect," as well as other pairs of similar-sounding words if you're going to become truly educated.

http://grammar.ccc.commnet.edu/grammar/notorious.htm
(Scroll down to read the sentences showing the differences.)

Read this:
http://www51.wolframalpha.com/input/?i=euro+to+dollar
If you were taking a vacation in France next week, would you have to take MORE dollars than you would have a year ago?

To analyze how the growth rate of the European economy relative to the US economy might affect the supply and demand in the foreign currency exchange rate between the US dollar and the Euro, we need to consider a few factors. Let's break it down:

1. Economic Growth: If the European economy is growing faster than the US economy, it generally indicates a stronger economic performance, which can lead to increased demand for Euro-denominated assets and investments. As a result, the demand for Euros increases, putting upward pressure on the value of the Euro relative to the US dollar.

2. Interest Rates: Higher economic growth in Europe may prompt the European Central Bank (ECB) to raise interest rates to manage inflation. Higher interest rates increase the attractiveness of Euro-denominated investments, attracting global capital flows and driving up the demand for the Euro.

3. Trade Balance: Increasing economic growth in Europe might also lead to higher exports, while simultaneously reducing imports. As a result, the demand for Euros would rise as more buyers would need to purchase Euros to pay for European goods and services. This increase in demand for Euros could lead to a higher exchange rate.

4. Market Sentiment: Market participants' perception and expectations of future growth rates can influence the supply and demand dynamics of currency exchange rates. If investors believe that Europe will continue to outperform the US economically, they might anticipate higher returns on Euro-denominated investments. This sentiment could increase the demand for Euros and, again, lead to a higher exchange rate.

It's important to note that multiple factors influence currency exchange rates, and the relationship between economic growth and exchange rates can be complex and dynamic. Moreover, other variables, such as geopolitical events, fiscal policy decisions, and market forces, can also impact exchange rates.

To get real-time information on how the exchange rate between the US dollar and the Euro is affected by these variables, it is recommended to follow financial news sources, consult economic indicators, conduct market analysis, and monitor developments in international trade and monetary policies.