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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) value of current `(1)/(300) s` after it was zero. |
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Answer» Here, `I = 50 sin 100 pi t`. Compare with the stantard form : `I = I_(0) sin 2 pi v t` (i) Mean value of a.c. over pos. half cycle ` = (2 I_(0))/(pi) = (2 xx 50)/(3.14) = 31.8 A` (iii) rms value of current, `I_(v) = (I_(0))/(sqrt2) = (50)/(1.414) = 35.35 A` (iv) `I = I_(0) sin omega t` `= 50 sin 100 pi xx (1)/(300) = (50 sqrt3)/(2) = 43.3 A` |
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