I kinda forgot my Unit 1/2 Chemistry, but hopefully, my chemistry is not too off the whack
Core Charge is basically used to explain the trend within the periodic table. For instance, it is the force in which it attracts the shells towards the nucleus. Hence, through the previous sentence, we can deride that, if it has a constant force of say +7, then as you have more shells, the force of the core charge will have a lesser extent on the outside shells.
For example: You Have Fluorine with electronic configuration of 2,7. We know that it is a very small atom, the force between the 1st shell and the nucleus is very strong. This is explained by its Core Charge by being +7 (very stupid, I know)
A Contrasting Example to Fluoride is Francium, where it has 6 shells. The Core Charge, is still +7, however Francium is a much bigger atom than that of Fluorine. Core Charge explains this is the case, because the nucleus has a lesser pulling effect on the outside shells to the center.
Hopefully, my explanation is correct.
In Real Life Example
There's a very hot girl in the middle of the road. She will attract the closer guys, because they can see her very clearly and they want to go on a date with her and do all kinds of naughty stuff.
But as you move away from the girl, in a further distance, you see her as less attractive, but still attractive, so you will go nearer to see if she is hot or not.
Then say, you are 300m away from her, you don't know if she is beautiful or not, but you can see her just "hintly", so you won't be so inclined to go near her.
Therefore, we can say, that her attraction force is lesser, as the distance moves away from her. Similarly to Core Charge.