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Series and Parallel Combination of Resistors

The sinusoida...

Question

The sinusoidal signal is passed through a square law device defined by the input output relation $y (t) = x^{2} (t)$ . The DC component in the signal $x (t) = 4 c o s (200 t + π / 6)$ is______.
8

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Solution

The correct option is A 8
$y (t) = 4^{2} c o s^{2} (200 t + \frac{π}{6})$

$= 4^{2} \cdot \frac{1 + c o s 2 (200 t + \frac{π}{6})}{2} = 8 + 8 c o s (400 t + \frac{π}{3})$

Hence, DC component = 8

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