Question

1. Express the following complex numbers in Cartesian form: (a) $frac{1}{2}e^{-jpi}$ (b) $sqrt{2}e^{-jfrac{3}{4}pi}$ 2. Express the following complex numbers in polar form: (a) 1+j (c) $sqrt{2} + jsqrt{2}$ (b) 1-j (d) $1 + jsqrt{3}$ 3. Find the magnitude and phase of the following complex numbers: (a) $frac{1+j}{1-j}$ (c) $frac{(sqrt{2}+jsqrt{2})(1+j)}{(1+jsqrt{3})}$ (b) $frac{sqrt{2}+jsqrt{2}}{1+jsqrt{3}}$ (d) $frac{(2+j3)(2-j)}{(1+j3)(-3+4j)}$

          1. Express the following complex numbers in Cartesian form:
(a) $frac{1}{2}e^{-jpi}$ 
(b) $sqrt{2}e^{-jfrac{3}{4}pi}$
2. Express the following complex numbers in polar form:
(a) 1+j
(c) $sqrt{2} + jsqrt{2}$ 
(b) 1-j
(d) $1 + jsqrt{3}$
3. Find the magnitude and phase of the following complex numbers:
(a) $frac{1+j}{1-j}$
(c) $frac{(sqrt{2}+jsqrt{2})(1+j)}{(1+jsqrt{3})}$ 
(b) $frac{sqrt{2}+jsqrt{2}}{1+jsqrt{3}}$
(d) $frac{(2+j3)(2-j)}{(1+j3)(-3+4j)}$

$1. Express the following complex numbers in Cartesian form: (a) frac12e^-jpi (b) sqrt2e^-jfrac34pi 2. Express the following complex numbers in polar form: (a) 1+j (c) sqrt2 + jsqrt2 (b) 1-j (d) 1 + jsqrt3 3. Find the magnitude and phase of the following complex numbers: (a) frac1+j1-j (c) frac(sqrt2+jsqrt2)(1+j)(1+jsqrt3) (b) fracsqrt2+jsqrt21+jsqrt3 (d) frac(2+j3)(2-j)(1+j3)(-3+4j)$

Added by Andrea O.

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