Question

The effective value of current i=2sin100πt + 2sin(100πt+30)

Answer 1

I = 2sin(100πt) + 2sin(100πt + 30°)

first of all find an standard form of current .
e.g., I = 2sin(100πt) + 2sin(100πt + 30°)
formula , $I_p=\sqrt{I_1^2+I_2^2+2_1.I_2cos\theta}$
$I_P=\sqrt{2^2+2^2+2.2.2cos30}$
$I_p=\sqrt{4+4+4\sqrt{3}}$
$I_p=2\sqrt{2+\sqrt{3}}$

hence, RMS = $\frac{I_P}{\sqrt{2}}$

RMS = $\frac{2\sqrt{2+\sqrt{3}}}{\sqrt{2}}$

RMS = $\sqrt{4+2\sqrt{3}}$

RMS = $\sqrt{\sqrt{3}^2+1^2+2\sqrt{3}}$

RMS = $\sqrt{3}+1$ A

Answer 2

Answer:

root 2A is the final answer

Step-by-step explanation:

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The RMS value of current i=(2sin100πt+2cos(100πt+30 o ))A,

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