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The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains: 
  • a)
    Only 10π rad/sec component
  • b)
    10π rad/sec component
  • c)
    10π rad/sec and 20π rad/sec components
  • d)
    +10π rad/sec and +20π rad/sec components
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and app...
Explanation: Output filter is the device that is used to filter some frequencies and make some frequencies in the response and in this case it contains 10π rad/sec.
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Most Upvoted Answer
The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and app...
The given sinusoid is x(t) = 6cos(10t), where t represents time.

The amplitude of the sinusoid is 6, which means that the maximum value of x(t) is 6 and the minimum value is -6.

The period of the sinusoid is 2π/10, which simplifies to π/5. This means that the sinusoid repeats itself every π/5 units of time.

The frequency of the sinusoid is 10, which represents the number of complete cycles it completes in one unit of time.

The phase shift of the sinusoid is 0, which means that it starts at its maximum value at t = 0.

The angular frequency of the sinusoid is 10, which represents the rate at which the sinusoid oscillates.

Overall, the sinusoid x(t) = 6cos(10t) has an amplitude of 6, a period of π/5, a frequency of 10, a phase shift of 0, and an angular frequency of 10.
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The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:a)Only 10π rad/sec componentb)10π rad/sec componentc)10π rad/sec and 20π rad/sec componentsd)+10π rad/sec and +20π rad/sec componentsCorrect answer is option 'B'. Can you explain this answer?
Question Description
The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:a)Only 10π rad/sec componentb)10π rad/sec componentc)10π rad/sec and 20π rad/sec componentsd)+10π rad/sec and +20π rad/sec componentsCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:a)Only 10π rad/sec componentb)10π rad/sec componentc)10π rad/sec and 20π rad/sec componentsd)+10π rad/sec and +20π rad/sec componentsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:a)Only 10π rad/sec componentb)10π rad/sec componentc)10π rad/sec and 20π rad/sec componentsd)+10π rad/sec and +20π rad/sec componentsCorrect answer is option 'B'. Can you explain this answer?.
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