Output file does not appear from StreamWriter - powershell

Question

I am trying to implement the code at this highly rated page https://blogs.technet.microsoft.com/gbordier/2009/05/05/powershell-and-writing-files-how-fast-can-you-write-to-a-file/ using "Method 4."
When I run the code below, it does appear to take a few seconds, but no t.txt file appears to be created. What am I missing?
PS L:\users\lit\t> Get-Content .\ttt.ps1
$s = "some text"
$stream = [System.IO.StreamWriter] "t.txt"
1..10000 | % {
$stream.WriteLine($s)
}
$stream.close()
PS L:\users\lit\t> $PSVersionTable["PSVersion"]
Major Minor Build Revision
----- ----- ----- --------
5 0 10586 117

Answer 1

Many thanks to #Ansgar Wiechers. The only way I could place the file into the correct directory was to produce a full path from a root. Since I wanted to put it into the current directory, (Get-Location).Path provided the directory path to which I appended the file name.
Without specifying the full path, System.IO.StreamWriter wanted to put the file into my home directory.
PS C:\Users\lit\t\booo> Get-Content .\ttt.ps1
[cmdletbinding()]
Param()
$FullPath = Join-Path (Get-Location).Path "t.txt"
Write-Verbose $FullPath
$stream = [System.IO.StreamWriter] $FullPath
Write-Verbose $stream.BaseStream.Name
1..10 | % { $stream.WriteLine($_) }
$stream.close()
PS C:\Users\lit\t\booo> .\ttt.ps1 -Verbose
VERBOSE: C:\Users\lit\t\booo\t.txt
VERBOSE: C:\Users\lit\t\booo\t.txt
PS C:\Users\lit\t\booo> Get-ChildItem
Directory: C:\Users\lit\t\booo
Mode LastWriteTime Length Name
---- ------------- ------ ----
-a---- 1/11/2017 5:22 PM 31 t.txt
-a---- 1/11/2017 5:21 PM 251 ttt.ps1