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A sinusoidal current is given as i(t) = 150 cos (1000πt – 45°)mA. Determine the period T and time t2 at which the first positive peak occurs:
  • a)
    T = 0.2 ms and t1 = 0.35 ms.
  • b)
    T = 2 ms and t1 = 0.25 ms.
  • c)
    T = 1 ms and t1 = 0.35 ms.
  • d)
    T = 0.1 ms and t1 = 0.25 ms.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A sinusoidal current is given as i(t) = 150 cos (1000πt – 45&...
i(t) = 150 cos (1000 πt – 45°) mA
i(t) can attain max at
1000πt - π/4 = 0
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Most Upvoted Answer
A sinusoidal current is given as i(t) = 150 cos (1000πt – 45&...
T + 30°) mA.

The amplitude of the current is 150 mA, and the angular frequency is 1000 radians per second.

The phase angle of the current is 30 degrees, which means that the current is shifted by 30 degrees relative to a reference sinusoidal wave (usually taken to be a sine wave).

To convert the current to a sine wave form, we can use the identity cos (θ) = sin (θ + 90°), which gives us:

i(t) = 150 sin (1000t + 120°) mA

This form of the current waveform shows that the current is a sine wave with an amplitude of 150 mA, a frequency of 1000 Hz, and a phase shift of 120 degrees relative to a reference sine wave.
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A sinusoidal current is given as i(t) = 150 cos (1000πt – 45°)mA. Determine the period T and time t2at which the first positive peak occurs:a)T = 0.2 ms and t1= 0.35 ms.b)T = 2 ms and t1= 0.25 ms.c)T = 1 ms and t1= 0.35 ms.d)T = 0.1 ms and t1= 0.25 ms.Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A sinusoidal current is given as i(t) = 150 cos (1000πt – 45°)mA. Determine the period T and time t2at which the first positive peak occurs:a)T = 0.2 ms and t1= 0.35 ms.b)T = 2 ms and t1= 0.25 ms.c)T = 1 ms and t1= 0.35 ms.d)T = 0.1 ms and t1= 0.25 ms.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sinusoidal current is given as i(t) = 150 cos (1000πt – 45°)mA. Determine the period T and time t2at which the first positive peak occurs:a)T = 0.2 ms and t1= 0.35 ms.b)T = 2 ms and t1= 0.25 ms.c)T = 1 ms and t1= 0.35 ms.d)T = 0.1 ms and t1= 0.25 ms.Correct answer is option 'B'. Can you explain this answer?.
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