Method 2: If the above doesn't help then, Set the Apple Mobile Device Service Startup type to Automatic.
In the Programs section of the search results, Click.Close iTunes and disconnect the iPhone, ipad, or iPod touch.Restart the Apple Mobile Device Service (AMDS) Method 1: I would first suggest you to follow steps mentioned below and see if it helps.
So please follow the suggestions mentioned below to fix the issue. I understand that you have issues only while connecting the IPhone to this particular computer.