Originally Posted by
george013
The so called effective f-stop doesn't explain anything. It's a tool to use. The explanation is on the other side of the lens, the subject side. If the surface of the view is getting smaller, then the amount of reflecting and thus captured light is also getting smaller. Thus to gain the same exposure, your ev must be larger.
There is also another method to make the view smaller, that's zoom in. But don't forget then that when you zoom in, the diameter of the diafragma is growing too. The f-number stays constant.