All the cable does is pull a switch which closes to put the light on. The adjuster needs to be adjusted so that when you press the pedal, the cable pulls the switch and puts the light on. If the cable you bought came from a bike whose pedal was set differently (The pedal can be rotated on its axis, for your comfort) then it will need adjusting.
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By birth an Englishman, by the grace of God a Yorkshireman.
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