Why are my distributor cap terminals burnt?

From now on when I refer to black, blue and silver springs it will be the ones that came with the Summit distributor.

Springs.

Thinner wire makes a weaker spring rate. That's obvious.
Less coils makes a higher spring rate. Extreme example is a slinky.
Larger outside diameter makes a weaker spring rate. These springs are all about the same in O.D.

The Length determines how much spring force is applied.

Comparing the summit black and silver springs.
Black has heavier wire, about the same number of coils (5 or 6) and coil diameter.
Its pretty safe bet that the black spring has a higher spring rate.
BUT
It may provide less spring force on the weight.
That depends on how long it is.
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In Summit's photo it looks much longer.
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Compare that length to the distance between the perches on your distributor.
Measure or install it and observe. See if there is a little slack with the weight at rest. I'm guessing there will be.
Then rotate the weight outward. Its important this spring begins to restrain the wieght before they've moved too far out.

You can stick a screwdriver behind either weight and twist it to observe the relation of the springs to the advance.
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