Question

If instantaneous current in a circuit is given by $I=(2+3\sin \left(\omega t\right)A$ then the effective value of the resulting current in the circuit is

• A. $\sqrt{\frac{17}{2}}A$
• B. $\sqrt{\frac{2}{17}}A$
• C. $\sqrt{\frac{3}{\sqrt{2}}}A$
• D. $3\sqrt{2}A$

Answer 1

Answer: (A)

$\sqrt{\frac{17}{2}}A$

Given, $I=2+3\sin \omega tA$

So, $i_{rms}=\sqrt{2^2+(\frac{3}{\sqrt{2}}{)}^2}=\sqrt{4+\frac{9}{2}}=\sqrt{\frac{17}{2}}$