Question

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

The correct option is A $\sqrt{\frac{17}{2}}A$

$I_{effective}=\sqrt{2^2+({\frac{3}{\sqrt{2}})}^2}$

$=\sqrt{4+\frac{9}{2}}=\sqrt{\frac{17}{2}}A$