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CBSE Class 12-science Answered

If the effective value of current in 50Hz A.c circuit is 5 Ampere.What is the peak value of current value of current 1/300 second  after it was zero?
Asked by Anshul | 14 Aug, 2017, 09:14: PM
answered-by-expert Expert Answer
-If the effective value of current in a 50Hz A.c circuit is 5 Ampere.Then, the peak value of the current value of current 1/300 second after it was zero will be calculated as follows.
 
- The effective value of current is nothing but the root mean square value of the current i.e IRMS.
- begin mathsize 12px style The space relationship space between space space straight I subscript rms space and space straight I subscript peak space is space as space follows colon space straight I subscript rms equals 1 half square root of 2 cross times straight I subscript peak space 5 equals 1 half square root of 2 cross times straight I subscript peak straight I subscript peak space equals fraction numerator 5 cross times 2 over denominator square root of 2 end fraction equals 5 square root of 2 straight I subscript peak space at space time space straight t equals 1 over 300 space seconds space after space 0 space straight i. straight e space after space origin space means space time space straight t equals 1 over 300 straight I equals straight I subscript peak Sinwt straight w equals 2 πft straight f equals 50 space Hz... given therefore comma Sin space wt equals Sin open parentheses 2 straight pi 50 cross times 1 over 300 close parentheses equals Sin open parentheses straight pi over 3 close parentheses equals fraction numerator square root of 3 over denominator 2 end fraction straight I equals straight I subscript peak Sinwt straight I equals 5 square root of 2 cross times fraction numerator square root of 3 over denominator 2 end fraction equals 6.1237 space Ampere end style
Answered by Abhijeet Mishra | 16 Aug, 2017, 12:24: PM

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