c++ - Why does ofstream give me an echo ie. writes input twice

When I run the following code, and I write for example "Peter" then the result is that I get "PeterPeter" in the file.

Why?

#include "stdafx.h"
#include "iostream"
#include "iomanip"
#include "cstdlib"

#include "fstream"
#include "string"

using namespace std;

int _tmain(int argc, _TCHAR* argv[])
{
    ofstream File2;
    File2.open("File2.dat",ios::out);


    string name;
    cout<<"Name?"<    while(!cin.eof())
    {
        cin>>name;
        File2<    }
    return 0;
}

When I change the while loop to

while(cin>>name)
{
    File2<}

it works. But I don't understand why the first approach does not.

I can't answer my own question (as I don't have enough reputation). Hence I write my Answer here:

Ahhhh!!! Ok Thanks. Now I got it ^^

I have been testing with

    while(!cin.eof())
{
    cin>>name;

    File2<    cout<}

What happens is that when I tip crtl+z he is still in the while loop. The variable name stays unchanged and is added to "File2" in the next line of code.

The following is working:

while(!cin.eof())

{
    cin>>name;
    if(!cin.eof()){File2<    cout<}