It is my understanding that the C380 uses a geared hub motor.
Not. The Gazelle C380 uses a modern
mid-drive motor that is located where the bottom bracket would be on a traditional bicycle, that is, where the cranks and pedals are.
You actually rotate the crank through the motor. Your combined leg power and the motor assistance act on the "chainring", which in the case of the C380 drives the carbon drive belt (instead of your usual chain). The drive belt acts on the sprocket in the rear wheel, and that sprocket drives an IGH (Internally Geared Hub) gearbox. The power delivered by your legs and motor eventually goes through the IGH transmission to rotate the rear wheel of the e-bike.
This solution is very modern and requires almost no maintenance from your side. The mid-drive motors are very efficient, are excellent climbers, and make the transmission amplify your combined leg + motor effort for climbs, or, on the opposite let your e-bike ride fast on the flats, depending on the gear you have selected with a gear selector near to the handlebar grip.
The geared hub motors drive the rear wheel directly and are independent of the drivetrain. Geared hub motors are found on inexpensive e-bikes.
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The mid-drive motor, the carbon belt drive, and the IGH are typically found in so-called SUV e-bikes, such as the Gazelle C380. Normally, a chain e-bike with a mid-drive motor has a similar motor as found on the Gazelle C380, only the pedals/crank operating through the motor drive a real chainring, which is a single sprocket. The chainring drives the chain, and the chain acts on the cassette sprockets that in turn drive the rear wheel. The gears are selected by the rear derailleur.
This modern drivetrain is called 1x because there is only a single chainring in the front but many sprockets in the cassette: from 9 to 12. The 1x system has got rid of the complexity related to the front derailleur, and is good for mid-drive e-bikes.
Have I made it too complicated?
I think you got confused by the "Internally Geared Hub" (a gearbox) and the "Geared Hub-Drive Motor" (a motor).