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The equation of a.c. in a circuit is `I = 50 sin 100 pi t`. Find (i) frequency of a.c. (ii) mean value of a.c. over positive half cycle (iii) rms value of current and (iv) value of current `1//600s` after it was zero. |
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Answer» Here, `I = 50 sin 100 pi t` Compare it with `I = I_(0) sin omega t = I_(0) sin 2 pi v t` `I_(0) 50 A, 2 pi v = 100 pi, v = 50 c//s` Mean value of a.c. over positive half cycle `= (2 I_(0))/(pi) = (2 xx 50)/(3.14) = 31.8 A` `I_(v) = (I_(0))/(sqrt 2) = (50)/(1.414) = 35.35 A` From `I = I_(0) sin omega t` `I = 50 sin 2 pi xx 50 xx (1)/(600)` `= 50 xx (1)/(2) = 25 A` |
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