It's always a tricky call as to how much detailed information to provide on the PA when a technical issue arises: That's because there are as many different requirements for informtion as there are customers on board. Some, such as Bongodrum prefer a greater level of detail, others are terrified by it. Sometimes, the explanation can be so complex that the overwhelming majority of customers would not understand.
Most of the Flight Crew that I work with have learned that honesty is alway the best policy, and will endeavour to give a basic explanation i.e. there is a fault with an engine, there is a fault with a navigation system, there is a fault with the flaps etc. etc.
One other problem is that too much information can cause further problems later - for example, there was an apparent 'sink' after take-off in this instance that probably was quite normal, but because of the prior knowledge of a fault, it wa perceived as something more sinister.
Hope this helps.