Answer
$1.2A$
Work Step by Step
$P_{avg}=i_{RMS}\times V_{RMS}$
i.e. $P_{avg}=R(i_{RMS})^{2}$
Now, average power = $15W$, $R=10Ohm$
Thus, $i_{RMS}=\sqrt \frac{15}{10}=1.2A$
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