Q1. If j = square root of - 1 what is square root of j ?(adsbygoogle = window.adsbygoogle || []).push({});

what I did was : Plug in the value of j in square root of j and came up with -1 to the power of 0.25.

Is this right. Looks like this wrong.

Q2. Given a complex number w = x + jy, the complex congugate of w is defined in rectangular coordinates as w* = x-jy. Use this fact to derive complex congugation in polar form.

What I did was : multiply both w * w* and came up with x ^ 2 + y ^2

and I know euler's formula e ^(jtheta) = cos (theta) + i sin (theta)

Is this right, probably not, can someone guide me here as well.

Q3. By hand sketch the following against independent variable t:

(a) x2(t) = Im (3 - e(1-j2pi)t)

There is another two also in these parts, One with the real part given and another one with x3(t) = 3 - Im(e(1-j2pi)t)

How do I do these problems ? Please any one help me. The book is worthless. It just talks about basics on complex numbers, congugates , polar forms etc.

But this HW has been a pain belive me....

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# Complex Number's Assignment (From my signals class)

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