In an ideal sinusoidal alternating current (AC), which statement is NOT true?

• A. The root-mean-square current satisfies $I_{\text{rms}}=\frac{I_0}{\sqrt{2}}$.
• B. The average value of the current over one complete cycle is $0$.
• C. The current has a nonzero net (DC) component over each full cycle, so $\frac{1}{T}{\int }_0^{T}i\left(t\right)dt\ne 0$.
• D. The instantaneous current can be written as $i\left(t\right)=I_0\sin (\omega t+\phi )$.

Answer: (C)