There are many types of SQL connection strings given in this post, you can use them as per your requirement.
SQL connection strings vb.net
Standard Security
Server=myServerAddress;Database=myDataBase;User Id=myUsername;Password=myPassword;
Trusted Connection
Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;
Connection to a SQL Server instance
Server=myServerName\myInstanceName;Database=myDataBase;User Id=myUsername;Password=myPassword;
Using a non-standard port
Server=myServerName,myPortNumber;Database=myDataBase;User Id=myUsername;Password=myPassword;
Connect via an IP address
Data Source=190.190.200.100,1433;Network Library=DBMSSOCN;Initial Catalog=myDataBase;User ID=myUsername;Password=myPassword;
Enable MARS
Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;MultipleActiveResultSets=true;
Attach a database file on connect to a local SQL Server Express instance
Server=.\SQLExpress;AttachDbFilename=C:\MyFolder\MyDataFile.mdf;Database=dbname;Trusted_Connection=Yes;
Attach a database file, located in the data directory, on connect to a local SQL Server Express instance
Server=.\SQLExpress;AttachDbFilename=|DataDirectory|mydbfile.mdf;Database=dbname;Trusted_Connection=Yes;
LocalDB automatic instance
Server=(localdb)\v11.0;Integrated Security=true;
LocalDB automatic instance with specific data fill
Server=(localdb)\v11.0;Integrated Security=true;AttachDbFileName=C:\MyFolder\MyData.mdf;
LocalDB named instance
Server=(localdb)\MyInstance;Integrated Security=true;
LocalDB named instance via the named pipes pipe name
Server=np:\.\pipe\LOCALDB#F365A78E\tsql\query;
LocalDB shared instance
Server=(localdb)\.\MyInstanceShare;Integrated Security=true;
Database mirroring
Data Source=myServerAddress;Failover Partner=myMirrorServerAddress;Initial Catalog=myDataBase;Integrated Security=True;
Server=myServerAddress;Database=myDataBase;Integrated Security=True;Asynchronous Processing=True;
Using an User Instance on a local SQL Server Express instance
Data Source=.\SQLExpress;Integrated Security=true;AttachDbFilename=C:\MyFolder\MyDataFile.mdf;User Instance=true;
Specifying packet size
Server=myServerAddress;Database=myDataBase;User ID=myUsername;Password=myPassword;Trusted_Connection=False;Packet Size=4096;
Data Source=myServer;Initial Catalog=myDB;Integrated Security=true;Column Encryption Setting=enabled;
Always Encrypted with secure enclaves
Data Source=myServer;Initial Catalog=myDB;Integrated Security=true;Column Encryption Setting=enabled;Enclave Attestation Url=http://hgs.bastion.local/Attestation;