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CBSE Class 12-science Answered

a resistance of 40ohm is connected to an ac circuit of 220v 50Hz.find the time taken by the current to change from its maximum value to the rms value.
Asked by vasturushi | 07 Aug, 2017, 08:01: PM
answered-by-expert Expert Answer
begin mathsize 12px style Current space at space any space instant space is space given space as space straight I space equals space straight I subscript straight o space sinωt
When space straight I space equals space straight I subscript rms space equals space fraction numerator straight I subscript straight o over denominator square root of 2 end fraction
therefore fraction numerator straight I subscript straight o over denominator square root of 2 end fraction space equals space straight I subscript straight o space sinωt
On space evaluating space further space comma space we space get
ωt space equals space straight pi over 4
or space 2 πvt space equals space straight pi over 4
Substitute space the space value space of space straight v space equals space 50 space Hz space and space calculate space to space get space straight t space equals space 2.5 space ms. end style
Answered by Yashvanti Jain | 08 Aug, 2017, 12:16: PM
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