Verify Stoke's theorem for the square region in the yz plane with coordinates (0,0,0), (0,1,0), (0,1,1), (0,01) and the function F= (2x213y²) ay 14y² az b D. S. (DXA) · d 12 §. A.di ds L
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- 24. In time domain represenatation of a signal, a signal with an expression of 220 cos (377t -90) is also equal to +220 sin (377t) True False 25. A phasor can be represented or expressed in either rectangular form (x +j y) or exponential form (z cis n) True False 26. To perform phasor multiplication, its better expressed the phasors in polar form and then get the product of all the individual magnitudes (amplitudes)and get the difference of all the individual arguments (phase angles). True FalseI need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems)Question 6: [Basic: Review of Complex Number] Consider the following complex numbers: e*2, 4 + 5j, 4 – 5j, , j², ne-3Um+) 1) Is the complex number in rectangular form or polar form? Specify for each. 2) Write down the complex number in the other form. If a complex number is given in rectangular form, write down its polar form, vice versa. 3) Specify the amplitude and phase for each given complex number. Show each of the numbers in complex plane. Remark: p. 71 in the textbook contains some very important discussions about the polar form
- A system has two poles located at (-2 + j3) and (-2 - j3) and a third pole located on the real axis at -15, in the case that it was possible to simulate the system like a 2nd order system, is there some variation between the 2nd order solution and the 3rd order solution with respect to natural frequency or final response to one unitary step?We can use Eq. 1.7 to find A A = 7 and B = 4) and the angle Then we get: 26. Find the angle between A = -5i - 3j + 2k and B -2j - 2k. [Ser4 7-20] Eq. 1.7 allows us to find the cosine of the angle between two vectors as long as we know their magnitudes and their dot product. The magnitudes of the vectors A and B are: (−5)² + (−3)² + (2)² = 6.164 B = and their dot product is: A B = AB cos = (7)(4) cos 60° = 14 A = A² + A² + A² = = which then gives A · B = AxBx+ AyBy + A₂B₂ = (−5)(0) + (−3)(−2) + (2)(−2) = 2 1.2. WORKED EXAMPLES √B²+ B²+ B² = √(0)² + (−2)² + (−2)² = 2.828 B. We have the magnitudes of the two vectors (namely between the two is = 130° 70° = 60°. Then from Eq. 1.7, if o is the angle between A and B, we have 2 (6.164) (2.828) This gives us: coso = From which we get by: A.B AB = 27. Two vectors a and b have the components, in arbitrary units, ax = 3.2, ay = 1.6, b = 0.50, by = 4.5. (a) Find the angle between the directions of a and b. (b) Find the components of a vector c that…Please reduce using trigonometric identities and complex numbers to the format provided.
- Given these two vectors A = -10 ax + 4ay – 8az and B = 8 ax + 7ay – 2az, find: a.) Unit vector from A to B b.) Vector sum of A + 2B c.) Magnitude of (5ax + B – 3A)I need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems):贪1 Routh Criterio... > Problems of Routh Hurwitz Stability Criterion choose the corect answer 1. Routh Hurwitz criterion gives: a) Numher of ronts in the right half of the s-plane b) Value of the roots c) Namber of ronts in the left half of the s-plane d) Number of roots in the top half of the s-plane 2. If O appears in the first column of a nonzero row in Routh array, teplace it with a) Small negative mumber e) Large positive number b) Small positive number d) Large negative number 3. Number of sign changes in the entries in Ist column of Routh array denotes the no. of a) Roots of characteristic polynomial in RHP. b) Zeroes of system in RHP. e) Open loop poles in RHP. d) Open loop zeroes in RHP. 4. The nocessary condition for the stability of the linear system is that all the coefficients of characteristic equation 14G(s)H(s) -0, he real and have the a) Positive sign c) Same sign b) Negative sign d) Both positive and negative 5. The characteristic equation of a system is given as…
- 1 and 2 please keep the answers simplequestion below has been rejected as not in correct form. This is cut and paste from my homework so I don't know how else to resubmit in mathematical form? please help me solve questions b through d. I did (a) fine. I have dont know the most efficient way to solve the rest. see attachedA. Draw the waveforms of the ff: a.) i, = 10 sin(wt + 30°)A b.) iz = 10 cos(wt - 45°) A c.) iz = 15 coswt d.) is = 14 cos(wt + 30°) A e.) is = 20 sin(wt - 90°) A f.) is = 30 sinwt B. Draw the vector diagram and find the equation of the resultant current.