Connect to Azure RM using a Service Principal

$applicationId = "Guid"
$tenantId = "Guid"
$subscriptiondId = "Guid"
$sharedSecret = "SharedSecretKey"

#convert to securestring
$secpasswd = ConvertTo-SecureString $sharedSecret -AsPlainText –Force

#create credential object
$credential = New-Object -TypeName System.Management.Automation.PSCredential -ArgumentList $applicationId, $secpasswd

#connect to Azure
Connect-AzureRmAccount -ServicePrincipal -Credential $credential -TenantId $tenantId -SubscriptionId $subscriptionId

#test it!
Get-AzureRmResourceGroup