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Question 3.SGPYQ.45: For a periodic signal v(t) = 30 sin 100t + 10 cos 300t + 6 s......

For a periodic signal v(t) = 30 sin 100t + 10 cos 300t + 6 sin(500t + π/4), the fundamental frequency in rad/s is

(a) 100              (b) 300               (c) 500               (d) 1500

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Given that
v(t) = 30 sin 100t +10 cos 300t + 6 sin (500t +π/ 4)
So the fundamental component is 30 sin 100t.
Third harmonic component is 10 cos 300t.

\text { Magnitude }=10=\frac{30}{3}

Frequency = 300 = 100×3 rad/s

Fifth harmonic component = =6 \sin \left\lgroup 500 t+\frac{\pi}{4} \right\rgroup

Magnitude =6=\frac{30}{5}

Frequency = 500t = 100×5 rad/s

Therefore, fundamental frequency = 100

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