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Question

Answers

$\left( a \right)50\sqrt{2}A$

$\left( b \right)100A$

$\left( c \right)100\sqrt{2}A$

$\left( d \right)0A$

Answer
Verified

Where: ${{I}_{rms}}$ - rms value of sinusoidal AC current

${{I}_{m}}$ - maximum or peak value of current

As per given equation of AC current:

\[I=100cos\left( 200t+{{45}^{\circ }} \right)A\]

So, the maximum current ${{I}_{m}}$ according to the equation

${{I}_{m}}=100A$

RMS value of current

${{I}_{rms}}=\dfrac{{{I}_{m}}}{\sqrt{2}}$

$\begin{align}

& \Rightarrow {{I}_{rms}}=\dfrac{100}{\sqrt{2}} \\

& \Rightarrow {{I}_{rms}}=50\sqrt{2}A \\

\end{align}$

So, for above given equation the ${{I}_{rms}}=50\sqrt{2}A$