Calculate these complex numbers and express your results in rectangular form: (a) frac{15angle45^circ}{3-j4} + j2 (b) frac{8angle-20^circ}{(2+j)(3-j4)} + frac{10}{-5+j12} (c) 10 + (8angle50^circ)(5-j12) Answer: a) -0.4243 + j4.97 b) 0.4151 - j0.6281 c) 109.25 - j31.07
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a) 15245" + j23 - j482 Show more…
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Calculate these complex numbers and express your results in rectangular form: (a) $\frac{15 \angle 45^{\circ}}{3-j 4}+j 2$ (b) $\frac{8 \angle-20^{\circ}}{(2+j)(3-j 4)}+\frac{10}{-5+j 12}$ (c) $10+\left(8 \angle 50^{\circ}\right)(5-j 12)$
Evaluate the following complex numbers: a. [(5 + j2)(-1 + j4) - 5∠60 °] b. 10 + j5 + 3∠40 ° / -3 + j4 + 10∠30 °
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1. Express the following complex numbers in Cartesian form: (a) (1/2)e^{-jpi} (b) sqrt{2} e^{-j(3/4)pi} 2. Express the following complex numbers in polar form: (a) 1 + j (b) 1 - j (c) sqrt{2} + jsqrt{2} (d) 1 + jsqrt{3} 3. Find the magnitude and phase of the following complex numbers: (a) (1 + j)/(1 - j) (b) (sqrt{2} + jsqrt{2})/(1 + jsqrt{3}) (c) ((sqrt{2} + jsqrt{2})(1 + j))/(1 + jsqrt{3}) (d) ((2 + j3)(2 - j))/((1 + j3)(-3 + 4j))
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