Boiling the Wort
There are a number of reasons to boil the wort:
- extracts flavour & bitterness from the hops
- sterilises the wort to prevent infection
- clears protein debris from the wort (the 'hot break')
The last of these is worth further mention. The wort from the
sparger is full of all sorts of bits and pieces of protein matter extracted from the
grains or produced by reactions in the mash tun. If these were
left in the beer, they would cause hazes and off-flavours.
Boiling causes these particles to clump together (coagulate) and sink to
the bottom of the boiler during the 'stand'. During the run off they are left
behind in the boiler as so-called 'hot trub'.
Hot trub left in the boiler after the 'run off'

To successfully 'coagulate' the proteins and extract bittering
acids from the hops takes around 1 - 1½ hrs of vigorous boiling.
My Old Boiler
I use a Thorne boiler with the thermostat removed and the
element supplied from a variac, so that the heat can be adjusted to get a
perfect boil:

My boiling schedule is as follows:
-
Boil for 15 minutes -
Add bittering hops -
Boil for one hour -
Add late hops &
teaspoon of irish moss -
Boil for 15 minutes -
Switch off boiler -
Let the wort stand for 20-30 minutes |