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The current in a certain circuit varies with time as shown in figure. Find the average current and the rms current in terms of `I_0` .A. average current is `I_(0)/sqrt(3)`B. average current is zeroC. rms current is `I_(0)/sqrt(3)`D. rms current is `2I_(0)/sqrt(3)` |
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Answer» Correct Answer - A::C average current =`("Total charge")/("time")` Total charge will be equal to area of I-t graph, which is zero for `T//2` to `3T//2`, hence average current will be zero for this time interval for `T//2` to `3T/2`: `I=(2I_(0)t)/(T)-2I_(0)` `I_(rms) = sqrt((int_(T//2)^(3T//2) I^(2)dt)/(3T//2-T//2))=I_(0)//sqrt(3)`. |
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