generic · CBSE Class 12th English Medium · PHYSICS PART-1 · Page 256question

7.7 POWER IN AC CIRCUIT: THE POWER FACTOR

Chapter 7: Chapter 7 · PHYSICS PART-1 · EN medium

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We have seen that a voltage v = vm sinωt applied to a series RLC circuit drives a current in the circuit given by i = im sin(ωt + φ) where v i Z and tan L X X φ ⎛ ⎞ ⎜ ⎟ ⎝ ⎠ Therefore, the instantaneous power p supplied by the source is ( [ ] sin sin( p v i v i φ [ ] cos cos( m m v i φ φ ( . ) The average power over a cycle is given by the average of the two terms in R.H.S. of Eq. ( . ). It is only the second term which is time-dependent. Its average is zero (the positive half of the cosine cancels the negative half). Therefore, cos m m v i

📖 NCERT Class 12 Physics Part 1 · Page 256

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We have seen that a voltage v = vm sinωt applied to a series RLC circuit drives a current in the circuit given by i = im sin(ωt + φ) where v i Z and tan L X X φ ⎛ ⎞ ⎜ ⎟ ⎝ ⎠ Therefore, the instantaneous power p supplied by the source is ( [ ] sin sin( p v i v i φ [ ] cos cos( m m v i φ φ ( . ) The average power over a cycle is given by the average of the two terms in R.H.S. of Eq. ( .

). It is only the second term which is time-dependent. Its average is zero (the positive half of the cosine cancels the negative half). Therefore, cos m m v i

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