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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Alternating Current

Olympiad workbook · NSEP · Alternating Current

An Alternating Current is expressed as i=i_1 ω t+i_2 ω t . The RMS...

An Alternating Current is expressed as

\mathrm{i}=\mathrm{i}_1 \cos \omega \mathrm{t}+\mathrm{i}_2 \sin \omega \mathrm{t}

. The RMS value of current is

Options

A\sqrt{\frac{ $\left(i_1+i_2\right)^2}{2}}$
B $\sqrt{\frac{i_1 i_2}{2}}$
C\sqrt{\frac{ $\left(\mathrm{i}_1^2+\mathrm{i}_2^2\right)}{2}}$
D\sqrt{\frac{ $\left(\mathrm{i}_1-\mathrm{i}_2\right)^2}{2}}$

Correct answer

C. \sqrt{\frac{ $\left(\mathrm{i}_1^2+\mathrm{i}_2^2\right)}{2}}$

Step-by-step solution

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