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In a circuit an a.c. current and a d, c. current are supplied together. The expression of the instantaneous current is given as i = 3 + 6 sin wt. Then the rms value of the current is
  • a)
    3
  • b)
    6
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a circuit an a.c. current and a d, c. current are supplied together...
Given,
Instantaneous current, i=3+6sinωt
irms​=√[(1/T​)0T(3+6sinωt)2dt​]
irms​=√(1/T) 0T​(32+62sin2ωt+36sinωt) dt​
irms​=√(1/T​) [0T32dt+∫0T​62{(1/2) ​– (cos2ωt/2​) dt+∫0T​(36sinωt)dt]​
irms​=√9+(36/2) ​+0​=3√3​A 
Hence, RMS value of current is 3√3​A
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In a circuit an a.c. current and a d, c. current are supplied together...
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In a circuit an a.c. current and a d, c. current are supplied together...
Given,
Instantaneous current, i=3+6sinωt
irms​=√[(1/T​)0T(3+6sinωt)2dt​]
irms​=√(1/T) 0T​(32+62sin2ωt+36sinωt) dt​
irms​=√(1/T​) [0T32dt+∫0T​62{(1/2) ​– (cos2ωt/2​) dt+∫0T​(36sinωt)dt]​
irms​=√9+(36/2) ​+0​=3√3​A 
Hence, RMS value of current is 3√3​A
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In a circuit an a.c. current and a d, c. current are supplied together. The expression of the instantaneous current is given as i = 3 + 6 sin wt. Then the rms value of the current isa)3b)6c)d)Correct answer is option 'D'. Can you explain this answer?
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In a circuit an a.c. current and a d, c. current are supplied together. The expression of the instantaneous current is given as i = 3 + 6 sin wt. Then the rms value of the current isa)3b)6c)d)Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about In a circuit an a.c. current and a d, c. current are supplied together. The expression of the instantaneous current is given as i = 3 + 6 sin wt. Then the rms value of the current isa)3b)6c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a circuit an a.c. current and a d, c. current are supplied together. The expression of the instantaneous current is given as i = 3 + 6 sin wt. Then the rms value of the current isa)3b)6c)d)Correct answer is option 'D'. Can you explain this answer?.
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