text: # 2. An alternating current is represented by the equation I=20sin 100mt. Compute its frequency and the maximum r.m.s values of current.<
  
  Question
  
  2. An alternating current is represented by the equation I=20sin 100mt.
  Compute its frequency and the maximum r.m.s values of current.
  Ans: 50Hz,20A,14.14A
  
  in progress 0
  1 year 2021-09-03T17:31:28+00:00 1 Answers 30 views 0
  
  1. Explanation:
  
  The general equation of an AC current is given by :
  
  $$I=I_o sin\omega t$$
  
  Where
  
  I₀ is the peak value of current
  
  $$\omega$$ is angular frequency
  
  $$As\ \omega=2\pi f$$
  
  So,
  
  $$f=\dfrac{\omega}{2\pi}\\\\f=\dfrac{100\pi}{2\pi}\\\\f=50\ Hz$$
  
  We know that,
  
  $$I_{rms}=\dfrac{I_0}{\sqrt{2}}\\\\=\dfrac{20}{\sqrt{2}}\\\\I_{rms}=14.14\ A$$
  
  So, the frequency is 50 Hz and the maximum rms value of current is 14.14 A.
explanation: The document contains a math question related to alternating current (AC) and its properties, along with the answer to the question.
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distilabel_metadata.content: # 2. An alternating current is represented by the equation I=20sin 100mt. Compute its frequency and the maximum r.m.s values of current.<
  
  Question
  
  2. An alternating current is represented by the equation I=20sin 100mt.
  Compute its frequency and the maximum r.m.s values of current.
  Ans: 50Hz,20A,14.14A
  
  in progress 0
  1 year 2021-09-03T17:31:28+00:00 1 Answers 30 views 0
  
  1. Explanation:
  
  The general equation of an AC current is given by :
  
  $$I=I_o sin\omega t$$
  
  Where
  
  I₀ is the peak value of current
  
  $$\omega$$ is angular frequency
  
  $$As\ \omega=2\pi f$$
  
  So,
  
  $$f=\dfrac{\omega}{2\pi}\\\\f=\dfrac{100\pi}{2\pi}\\\\f=50\ Hz$$
  
  We know that,
  
  $$I_{rms}=\dfrac{I_0}{\sqrt{2}}\\\\=\dfrac{20}{\sqrt{2}}\\\\I_{rms}=14.14\ A$$
  
  So, the frequency is 50 Hz and the maximum rms value of current is 14.14 A.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question related to alternating current (AC) and its properties, along with the answer to the question.
  
  Label: question-and-answer