New-PSDrive "The network path was not found" - powershell

Question

i have trouble with "New-PSDrive -Root"
When i try to map a New-PSDrive -Root $patch with a $path using an array, the cmd does not map the drive but give me an error : "The network Path was not found".
The path is working if i use an explorer in my windows.
How can i fix that ?
Thanks a lot
exemple :
foreach ($s in $serverlist)
{
$path = "\\$s\e$\Updates\file\
New-PSDrive -Name "S" -Root $path -Persist -PSProvider "FileSystem" -Credential $cred
}
Problem
This is the entire script :
Get-Date -Format "dddd MM/dd/yyyy HH:mm K">> "C:\file\results.txt"
$cred = Get-Credential -Credential domain\name
$serverlist = #(get-content -Path "C:\file\serverlist.txt")
foreach ($s in $serverlist)
{
$path = "\\$s\e$\Updates\file\"
New-PSDrive -Name "S" -Root $path -Persist -PSProvider "FileSystem" -Credential $cred
$path2 = "\\$s\e$\Updates\file\errors.txt"
$file = Get-Content $path2
$containsWord = $file | %{$_ -match "0"}
if ($containsWord -contains $true) {
Out-File -FilePath "C:\file\results.txt" -Append -InputObject "$s : ok"
} else {
Out-File -FilePath "C:\file\results.txt" -Append -InputObject "$s : nok"
}
Remove-PSDrive -Name "S"
}
EDIT 1 : If i try to access to the file directly by an windows explorer with the same credential and I, after that, run the script, it works

Answer 1

As commented, the user in $cred may have permissions to access the file in the path on the server, but you as it seems do not.
Try using Invoke-Command where you can execute a scriptblock using different credentials than your own:
$cred = Get-Credential -Credential domain\name
$serverlist = Get-Content -Path "C:\file\serverlist.txt"
# loop through the list of servers and have these perform the action in the scriptblock
$result = foreach ($s in $serverlist) {
Invoke-Command -ComputerName $s -Credential $cred -ScriptBlock {
# you're running this on the server itself, so now use the LOCAL path
$msg = if ((Get-Content 'E:\Updates\file\errors.txt' -Raw) -match '0') { 'ok' } else { 'nok' }
# output 'ok' or 'nok'
'{0} : {1}' -f $env:COMPUTERNAME, $msg
}
}
# write to the results.txt file
# change 'Add-Content' in the next line to 'Set-Content' if you want to create a new, blank file
Get-Date -Format "dddd MM/dd/yyyy HH:mm K" | Add-Content -Path 'C:\file\results.txt'
$result | Add-Content -Path 'C:\file\results.txt'
In fact, you don't even need a foreach loop because parameter -ComputerName can receive an array of server names:
$result = Invoke-Command -ComputerName $serverlist -Credential $cred -ScriptBlock {
# you're running this on the server itself, so now use the LOCAL path
$msg = if ((Get-Content 'E:\Updates\file\errors.txt' -Raw) -match '0') { 'ok' } else { 'nok' }
# output 'ok' or 'nok'
'{0} : {1}' -f $env:COMPUTERNAME, $msg
}