$(a)\;150\;W \\ (b)\;550\;W \\(c)\;250\;W \\(d)\;50\;W $

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$Z= \large\frac{E_0}{I_0}$

$E_0=220$

$I_0 =10$

$Z= \large\frac{220}{10}$

$\quad= 22 \;ohms$

$\phi =\bigg[ \large\frac{\pi}{6} -(- \frac{\pi}{6} ) \bigg]$

$\quad= \large\frac{\pi}{3}$

Power $= \large\frac{E_0}{\sqrt 2} \times \large\frac{I_0}{\sqrt 2} $$\cos \phi$

$\qquad= \large\frac{220}{\sqrt 2} \times \frac{10}{\sqrt 2} $$ \ cos \large\frac{\pi}{3}$

$\qquad= 550\;W$

Hence b is the correct answer.

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