Why does OHMs law not work on AC circuits?

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qlc
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can someone please explain to me physically how is it that
when i have an AC source and i measure Voltage on a resistor its the same with and without the resistor
and when i have a DC source and i measure Voltage again on the resistor and now there's a different reading

its like ohm law doesn't support AC circuits but why ?
 
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Did you use the peak value or the r.m.s. value of the AC source for your computation?