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A sinusoidal signal x(t) = 2sin(100t + π/3) is passed through a square law device defined by input-output relation y(t) = x2(t), then the DC component in the signal is:
  • a)
    2
  • b)
    4
  • c)
    1
  • d)
    2√3 / √2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A sinusoidal signalx(t) = 2sin(100t + π/3)is passed through a squar...
Concept:
In electrical engineering, we call the term A0 the DC component, DC offset or simply offset. For any alternating waveform, the DC component of a signal is defined as the average value of the signal, i.e.
DC component = Average value over the complete time period.
Important Points: 
  • For any sin or cosine waveform, the average value is simply 0 over a complete period.
  • For a constant number, the average value is simply the constant value. Ex: For a = 10, the average value will be 10 only.
Calculation:
The average value of 2 will be 2, and the average value of cos function will be 0
∴ The D.C. component, or the average value will be 2.
Community Answer
A sinusoidal signalx(t) = 2sin(100t + π/3)is passed through a squar...
The given sinusoidal signal is x(t) = 2sin(100t).

The amplitude of the signal is 2.
The frequency of the signal is 100 Hz.
The phase angle of the signal is not given.
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A sinusoidal signalx(t) = 2sin(100t + π/3)is passed through a square law device defined by input-output relation y(t) = x2(t), then the DC component in the signal is:a)2b)4c)1d)2√3 / √2Correct answer is option 'B'. Can you explain this answer?
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