Let’s look at a simplified diagram of the torque that your leg muscle generate versus the landscape – slope degree.
Assuming that at gear ratio of 1:1, for every turn of pedals the wheel will turn by one cycle, then:
Low Gear (1:0.5) means for every turns you make on the pedals, the wheel only make half a turn, since your leg muscle power is constant, your loss on speed is made up with your increase of forward force.
High Gear (1:2) means for every turns you make on the pedals, the wheel only make 2 turns, since your leg muscle power is constant your gain on speed is made up with your reduction of forward force.
Now compare this to the impedance matching in audio amplifier:
Picture from Wikipedia - transformer to perform impedance matching
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