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III) Perform the following complex number conversions (a) convert the complex number Zi- 3+j4 to polar...
Problemi: Zi= 1+ja, Z2 = 2+ j4. Find 0 ZitZz ? in Rectangular form Problema: Z,...
Problemi: Zi= 1+ja, Z2 = 2+ j4. Find 0 ZitZz ? in Rectangular form Problema: Z, = 2130° , Z = 3145° Find ① ZitZz I in polar form Zi-Z2 ☺ 3, Problem 3 z = what is the magnitude and phase ?
Problem 1: Consider the following complex numbers: Z1 = 2 + j4 Z2 = 5e3 a)...
Problem 1: Consider the following complex numbers: Z1 = 2 + j4 Z2 = 5e3 a) Write zi in polar form b) Write ze in rectangular form c) Plot the product of zı & z2 in the complex plane with x(0) = 0.3 Problem 2: Consider the system: dx/dt = -3x a) Solve the initial value problem b) Plot the resulting function
3. Perform the following complex number calculations (Note: Electrical engineers use j Express your answer in...
3. Perform the following complex number calculations (Note: Electrical engineers use j Express your answer in rectangular and polar format (3 +j4) + (4-J2)- (3 +j4)-(4-J2)- (3 +/4) * (4-y2) = (3 +j4)/ (4-j2)- instead of i for the imaginary component) (rectangular) (rectangular) (rectangular) (rectangular) (polar) (polar) (polar) (polar)
10 in Cartesian coordinates. (a) Write the complex number (b) Write the complex number (c) What...
10 in Cartesian coordinates. (a) Write the complex number (b) Write the complex number (c) What is the phasor representation of the signal 4. (2 + j4)(3-J)in Polar coordinates i = 4 sin(10t + 10%) ǐn polar coordinates? (d) What is the time domain sinusoidal represenation of the phasor if the frequency of the signal is o- 20 rad/s? I=j(5-j12) if (e) What is the time domain sinusoidal represenation of the phasor the frequency of the signal is ω-10 rad/s?...
Plot the complex number on the complex plane and write it in polar form and in...
Plot the complex number on the complex plane and write it in polar form and in exponential form. 3-41 Plot the complex number on the complex plane. Write the complex number 3 - 4 i in polar form. Select the correct choice below and fill in the answer box(es) within your choice. (Simplify your answer. Type an exact answer for r, using radicals as needed. Type any angle measures in radians, rounding to three decimal places as needed. Use angle...
14 For the complex number z=-3+3i do the following a) Convert to polar form, Polar 2-...
14 For the complex number z=-3+3i do the following a) Convert to polar form, Polar 2- b) Still in polar form, find z? Polar c) Finally convert z' back to standard form Standard 2' =
Question 5 Write the complex number in rectangular form. -3(cos 225° +i sin 225°) Question 6...
Question 5 Write the complex number in rectangular form. -3(cos 225° +i sin 225°) Question 6 Write the complex number in polar form. Express the argument in degrees. 3cos Oº+isin 0°) 3[cos 180°+ i sin 1809) 3[cos 90° + i sin 90°) O 3(cos 270° Fisin 270°F
Assume complex number in a polar representation z = 1.5 * e ^ (-j * 45o)....
Assume complex number in a polar representation z = 1.5 * e ^ (-j * 45o). Plot this number as a vector on the complex plane (make sure to input the phase angle in MatLab in radians). Determine the magnitude of the complex number z = 3 – j * 4 using the complex conjugate notation and determine its phase angle. Convert the complex number z = 2.5 * e ^ (j * 60o) to the rectangular notation using the...
[11] Convert the complex number 20-2li to trigonometric form. A. 729 cis - 46.4° B. 729...
[11] Convert the complex number 20-2li to trigonometric form. A. 729 cis - 46.4° B. 729 cis 133.6° C. 29 cis - 46.4° D. 29 cis 133.6° [12] Convert the complex number 12 cis 5 18 to rectangular form. A 7.7 +9.21 B. 9.2 + 7.71 C. 0.2+12.01 D. 12.0+0.21 [13] Convert the complex number -6 cis 3 to rectangular form. A. -0.3 - 6.01 B. -6.0 - 0.31 c. -8 + 5.91 D. 5.9 -0.81 (14) Which is an...
[13] Convert the complex number -6 cis 3 to rectangular form. C. -.8 + 5.9 D....
[13] Convert the complex number -6 cis 3 to rectangular form. C. -.8 + 5.9 D. 5.9 - 0.81 A. B. -6.0 - 0.31 -0.3 - 6.0i 13 in the polar plane? [14] Which is an accurate description of the graph of = 12 A. B. C. D. E. a horizontal line above the polar axis a horizontal line below the polar axis a vertical line right of the pole a vertical line left of the pole an oblique line...
Problemi: Zi= 1+ja, Z2 = 2+ j4. Find 0 ZitZz ? in Rectangular form Problema: Z, = 2130° , Z = 3145° Find ① ZitZz I in polar form Zi-Z2 ☺ 3, Problem 3 z = what is the magnitude and phase ?
Problem 1: Consider the following complex numbers: Z1 = 2 + j4 Z2 = 5e3 a) Write zi in polar form b) Write ze in rectangular form c) Plot the product of zı & z2 in the complex plane with x(0) = 0.3 Problem 2: Consider the system: dx/dt = -3x a) Solve the initial value problem b) Plot the resulting function
3. Perform the following complex number calculations (Note: Electrical engineers use j Express your answer in rectangular and polar format (3 +j4) + (4-J2)- (3 +j4)-(4-J2)- (3 +/4) * (4-y2) = (3 +j4)/ (4-j2)- instead of i for the imaginary component) (rectangular) (rectangular) (rectangular) (rectangular) (polar) (polar) (polar) (polar)
10 in Cartesian coordinates. (a) Write the complex number (b) Write the complex number (c) What is the phasor representation of the signal 4. (2 + j4)(3-J)in Polar coordinates i = 4 sin(10t + 10%) ǐn polar coordinates? (d) What is the time domain sinusoidal represenation of the phasor if the frequency of the signal is o- 20 rad/s? I=j(5-j12) if (e) What is the time domain sinusoidal represenation of the phasor the frequency of the signal is ω-10 rad/s?...
Plot the complex number on the complex plane and write it in polar form and in exponential form. 3-41 Plot the complex number on the complex plane. Write the complex number 3 - 4 i in polar form. Select the correct choice below and fill in the answer box(es) within your choice. (Simplify your answer. Type an exact answer for r, using radicals as needed. Type any angle measures in radians, rounding to three decimal places as needed. Use angle...
14 For the complex number z=-3+3i do the following a) Convert to polar form, Polar 2- b) Still in polar form, find z? Polar c) Finally convert z' back to standard form Standard 2' =
Question 5 Write the complex number in rectangular form. -3(cos 225° +i sin 225°) Question 6 Write the complex number in polar form. Express the argument in degrees. 3cos Oº+isin 0°) 3[cos 180°+ i sin 1809) 3[cos 90° + i sin 90°) O 3(cos 270° Fisin 270°F
[11] Convert the complex number 20-2li to trigonometric form. A. 729 cis - 46.4° B. 729 cis 133.6° C. 29 cis - 46.4° D. 29 cis 133.6° [12] Convert the complex number 12 cis 5 18 to rectangular form. A 7.7 +9.21 B. 9.2 + 7.71 C. 0.2+12.01 D. 12.0+0.21 [13] Convert the complex number -6 cis 3 to rectangular form. A. -0.3 - 6.01 B. -6.0 - 0.31 c. -8 + 5.91 D. 5.9 -0.81 (14) Which is an...
[13] Convert the complex number -6 cis 3 to rectangular form. C. -.8 + 5.9 D. 5.9 - 0.81 A. B. -6.0 - 0.31 -0.3 - 6.0i 13 in the polar plane? [14] Which is an accurate description of the graph of = 12 A. B. C. D. E. a horizontal line above the polar axis a horizontal line below the polar axis a vertical line right of the pole a vertical line left of the pole an oblique line...
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