After you file

That's possible, because the IRS Tax Tables are in $50 increments.   So if you were almost to the next $50 level, the $2 in interest could have put you over into the next $50 bracket.

It's easier to see in this example for a single filer:

Income                                      Tax (from IRS Tax Table)

40,000 but less than 40,050       4,745

40,050 but less than 40,100       4,756

40,100 but less than 40,150       4,767

So if a filer originally had 40,098 in taxable income, his tax would be 4,756.   If another $2 in income, then that would put him at 40,100 in income, and the tax would be 4,767.  So in this example the filer owed an extra $11 in tax because the $2 put him in the next $50 income "bracket."

Depending on where you are in that $50 bracket when you add additional income, the refund meter may go down (or tax due meter go up), or it may not change at all.

You can look and see if that is what happened to you.  The IRS Tax Table begins on Page 67 of this publication of Form 1040 Instructions:

NOTE:  Just be aware that the tax calculation that TurboTax uses is not always directly from the Tax Tables.  Some situations require other tax calculation methods and worksheets.   For example, if you have any income from qualified dividends or capital gains, some of your tax may be figured differently, such as on the Qualified Dividends and Capital Gain Tax Worksheet.  So in some situations, the final tax amount won't necessarily be a direct reading from the Tax Tables.