Does writing more data to disk consume more energy than writing less?

As the title says, I am wondering if writing more data (i.e. larger files) to disk (e.g. Tablet SSDs) will consume more energy than smaller files.

My expected answer is "yes, because larger files take longer to write, hence need more energy". However, I am not sure if that is true.

If someone could shed some light (better with a link with more info from a reputable source), I’d really appreciate it.