What is the r.m.s. value of the current for A.C. current $I = 100 cos (200 t + 45^{o}) A$ .

50 \sqrt{2}

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100

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100 \sqrt{2}

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Zero

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Solution

The correct option is C $50 \sqrt{2}$ A
$I = 100 cos (200 t + 45^{\circ})$
Her $I_{o} = 100 =$ Maximum current
R.M.S value of current $= I_{r m s} = \frac{I_{o}}{\sqrt{2}}$
$I_{r m s} = \frac{100}{\sqrt{2}} = 50 \times \sqrt{2} A$
Hence the correct option is (A).

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