My understanding is that the resistor pack is used to lower the voltage supplied to the fuel pump to reduce the fuel rate.
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So when maximum fueling is required the resistor pack is switched out of circuit by the fuel pump relay.
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The fuel pump relay never actually switches the pump off, just selects the full 12+ volts for high flow or I believe around 8v for lower flow rate.
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Whilst I've never checked, I'm surprised that the coil pack is that hot after a run as I would have though it spent a fair amount of time out of circuit during
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"normal" driving.
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The rest position for the relay is via the coil pack, so I wonder if the relay isn't switching.
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It looks like pin 6 on the ECU goes to ground to switch the relay via in 1 on the relay, which then takes the coil pack out of use.
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Certainly worth checking that EO2 has a good solid connection to earth, as I few people seem to have issues that have been traced back to that.
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I also spent a lot of time pulling my hair out with my previous na, which had a habit of stalling when I pulled up at a junction if I didn't keep the revs up, and eventually it ended up stalling and refusing to restart until the car was left for half hour or so.
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In the end I took it to my mates garage and we found the ECU was switching the injectors off for no apparent reason.
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The ECU all looked clean inside, but when I replaced it bingo, no further issues.
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Just a couple of thoughts.
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These sort of issues are always the hardest to track down.
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Paul