A) \[3A\]
B) \[3\sqrt{3}A\]
C) \[2\sqrt{3}A\]
D) \[(2-\sqrt{2})A\]
Correct Answer: C
Solution :
\[\overline{{{i}^{2}}}=\frac{\int_{{}}^{{}}{{{i}^{2}}dt}}{\int_{{}}^{{}}{dt}}=\frac{\int_{2}^{4}{(4t)}dt}{\int_{2}^{4}{dt}}=\frac{4\int_{2}^{4}{t\ dt}}{2}\] \[=2\left[ \frac{{{t}^{2}}}{2} \right]_{2}^{4}=\left[ {{t}^{2}} \right]_{2}^{4}=12\] \[\Rightarrow {{i}_{rms}}=\sqrt{\overline{{{i}^{2}}}}=\sqrt{12}=2\sqrt{3}\ A\]
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