You can possibly receive up to $2000 in child tax credit per qualifying child. However, if your tax liability (the income tax that you owe) is already very low or even $0, then the child tax credit is reduced.
At that point there is a credit called Additional Child Tax Credit that may kick in. This credit is up to $1600 instead of $2000. To claim this credit you must have at least $2500 in earned income. The amount of credit up to the possible $1600 is based on your earned income amount. So, if your earned income is low, the credit will be low as well.
You can use the information provided by xmasbaby0 to take a look at your return and try to understand your situation better.
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