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3. Complex numbers and math a) Express z=-6 8 in polar form b) Express -1 in...
complex numbers son a) Express Z as a complex number in rectangular form. Z = (5 + 12j).(12 + 5j). e 10 b) Express Z as a complex number in polar form. 2+2+2245° 2=2-2j c) Solve for R and L, where R and L are both real numbers: 200296 + 100Li 102360R
Express the complex number z= in polar form เรเเ uLliuus. ru eaa. yusuun, suuw au wurx eauug to an answer and simpiny as mucn as reasonably 1. Express the complex number 7-4i in polar form. Limit its phase to the interval [0, 2m) in radians. 2. A particular complex number z satisfles the eqio z+ 1 Solve this equation and express your answer in the rectangular form a +iy, where z and y are respec tively the real and imaginary...
2. Given the two complex numbers: z =-3-j2, z, = 4e6 a) Express both numbers in rectangular, exponential, and phasor forms; b) Find the sum, the difference, the product, and the quotient of the numbers.
2. (a) Express each of the following complex numbers in polar form (i) i ( ii) /3 - 3i (iii) -3-V3i 42 b) For each of the complex numbers in part (a), id and
Problem 2. (5 points each question). Convert the rectangular form of complex numbers to the polar form 1. Z_rect = -5 - 8i Z_pol = 2. Z_rect = 2 - 71 Z_pol = 3. Z_rect = -8 + 4i Z pol- 4. Z_rect = -13.22 + 7.65i Z_pol =
Badges Given the two complex numbers: 2. =-3- j2, z, = 4e60° a) Express both numbers in rectangular, exponential, and phasor forms; b) Find the sum, the difference, the product, and the quotient of the numbers.
III) Perform the following complex number conversions (a) convert the complex number Zi- 3+j4 to polar form tb) convert the complex number Z2-4 e0 to polar and rectangular form Hint: Z2-rexponential form. form IV What are the phase relationship between the sinusoidal waveforms brelow: v=4sin (wt + 50) i 6 sin (wt + 40) (b) v 2 cos (wt 30) i 5 sin (wt60)
Question 3 (a) Write the following complex numbers z + iy in polar form z+ iy re giving the angle θ as the sum of its principal argument, (chosen to lie in-r < θ,-r) and an integer multiple of 2π. That is, write θ as θ θp + 2km where k-0, 1, 2, +2Tk +2T k +2T (b) Compute all three values of i1/S and write your answers in the form a + iy.
U 1.1. Express each of the following complex numbers in Cartesian form (x + jy): bej, ke-ja, eja/2, e-ju/2, 359/2, 2ej#14, 2e396/4, 2e-39714, 2e-ja14 Express each of the following complex numbers in polar form (reje, with - 1 < 0 = T):5.-2-3;, ; - ; 3.1+j, (1 - i)?, j(1 - 1)(1+j)/(1-j), (/2 + ;/2) (1 + 1/3). Determine the values of P. and E. for each of the following signals: (a) xi(t) = e-2u(t) (b) x2(t) = el(21+ 7/4)...
(3) Express in rectangular form all complex solutions to z2+ z +3 = 0.