My teacher said to me that Instantaneous Angle means Argument of Complex Function thats all. Someone please tell me what significance does this "instantaneous" Word has here ?
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$\begingroup$ was this function over time? $\endgroup$– MemmingCommented Oct 31, 2017 at 12:17
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$\begingroup$ $f(t)$=$e^{j{({\Omega}t+\Phi_0})}$ where $${{\Omega}t+\Phi_0}$$ is instantaneous angle $\endgroup$– fpsshubhamCommented Oct 31, 2017 at 12:41
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$\begingroup$ great. It's instantaneous at time $t$. $\endgroup$– MemmingCommented Oct 31, 2017 at 13:33
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1 Answer
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Instantaneous usually means the value of something right at this time. I think what this means in your case is that the function $f(t)$ is complex and you are taking the argument (finding the angle): $$ \theta(t) = \arg\left( f(t) \right) = {\rm atan}(\Im[f(t)],\Re[f(t)]) $$ where $\Im[ \cdot ]$ indicates taking the imaginary part and $\Re[ \cdot ]$ indicates taking the real part.
