Q.

If the instantaneous current in a circuit is given by Question Image ampere, the rms value of the current is :


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a

Question Image

b

2

c

Question Image

d

Zero 

answer is B.

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Detailed Solution

Concept- The rms current is defined as the square root of the current's mean squared. It is mathematically possible. calculated by using the equation Question Image.
The equation describing rms current Question Image, can also be written as Question Image, which denotes the average of i 2 for one complete cycle of current.
Since Question Image, we can say that average of Question Image will be
Question ImageQuestion ImageThe average value of Cost for one complete cycle is zero, while the average value of Cos2t for one complete cycle can be remembered to be Question Image.
Hence, Question ImageSolving, Question ImageSince Question Image,
Using the value Question ImageWe get, Question Image.
Hence, option 2 is correct.
 
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