Rich, I haven't seen the reply that Steve has made.
The LED should have a published spec for the voltage drop (Vfwd) and "MAX"
voltage drop. The term forward is general added to indicate that the
device is wired and biased so that it should operate (light up). It will
also have a spec for the current that will flow when the device has the
correct voltage across it. We can call that Ifwd.
Your resistor value should then be Rdrop = (17.5 - Vfwd)/Ifwd
Or using the value that Steve provided (820 ohms).
Vfwd is typically 2 volts -- for most LED's, (higher for some laser
devices and the new super bright LED's)
820 = (17.5 - 2.0)/Ifwd or Ifwd = 15.5/820 = (rough) 19 milliampere's
current.
The resistor will see about a 1/3 watt heat generation.
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