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An AC is given by the equation `i=i_(1)cos omegat+i_(2)sin omegat`. The r.m.s. current is given byA. `(1)/(sqrt(2))(I_(1)^(2)+I_(2)^(2))^(1//2)`B. `(1)/(sqrt(3))(I_(1)^(2)+I_(2)^(2))^(1//2)`C. `(1)/(sqrt(3))(I_(1)^(2)+I_(2)^(2))^(3//2)`D. `(1)/(sqrt(3))(I_(1)^(2)+I_(2)^(2))^(3//2)` |
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Answer» Correct Answer - A `I_(rms)=sqrt(overline(I^(2)))` `=sqrt(overline((I_(1)cosomegat+I_(2)sinomegat)^(2)))` `=sqrt(I_(1)^(2)overline(cos^(2)omegat)+I_(2)^(2)overline(sin^(2)omegat)+2overline(I_(1)I_(2)sinomegatcosomegat))` `=sqrt(I_(1)^(2)xx(1)/(2)xxI_(2)^(2)xx(1)/(2)+0)` `=sqrt((1)/(2)(I_(1)^(2)+I_(2)^(2)))=(1)/(sqrt(2))(I_(1)^(2)+I_(2)^(2))^(1//2)` |
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