How: Find the angle by which i Lage if 4 = 100 Sin (iS0Tet+ 20) %3D and 1) iz = 10 sin (1soTot-40) 2) 12= -50 cos (15OTC+ +10)

Q: A complex number is represented as Z=4+j3 ohm. What will be magnitude and phase of this complex…

A: For any complex number, C=A+jB, the magnitude and phase of the complex number can be expressed as

Q: Sketch the pole-zero for the 1+z-1 – 2z-2 X(z) 13 6 1- z-1 + z-2

A:

Q: Express in both polar f rectangular forms Ans/ [476 L19 2-234+j415] Ans/ [38.27x10s L176.9 16(-38.18…

A: Find the rectangular and polar form of the given expression.  Rectangular form x+jy  Polar form r∠Θ…

Q: VIt) =sin20 TTt-3 IT(E/s) + 3TT (E13)co10 TTE t sinc (E13) +A(-4)(oS 4けt find VIf) =? Sketch v It)…

A:

Q: Deteomine the Inverse z toansform for the following seguence:- X(2) = z-22 ROC : 2 2 %3D Z-2

A:

Q: What is the differential element for surface defined by 0 sp s 5 and z = 10? %3D

A:

Q: Calculation discrepancy with Smith chart: I am trying to find the input impedance for a load that is…

A: According to the question,Load impedance Characteristic impedance We need to calculate the input…

Q: y(t)- 4u(t + 3) – 6u(t + 1) + 2u(t- 3) Find the Energy of y(t) in Joules. A- E E 3 S

A:

Q: Do the operation and express the resulting value in rectangular form and in polar form. ( Round-off…

A:

Q: est... Question 19 Convert R= 600 kips, 0 = –745° to rectangular form. None O R=(-253.57i-543.78j)…

A: Given: R=600 kipsθ=-745°

Q: hat is the polar representation of z = -140 + J170? Oa. z 220.232-50.53° O b. z 220.234-129.47°…

A:

Q: 54(-15°) (2+j3) + 8 -2+j7

A:

Q: (e) Determine in polar and cartesian forms (-16- j9)6

A: De Moiver's Theorem: a+jbn = rncosnθ + jsinnθ          r = a2+b2         θ = tan-1ba

Q: Determine the polar form AZB° and rectangular form C + jD of the expression…

A: The solution solution given below

Q: The Phase angle bet ween Get) = - 1o cos Cwt +50) i (t) = 12 Sin (ut-10) %3D i = ? %3D %3D

A: Any time domain signal can be sinusoidal, DC signal or any curve signal. Sinusoidal signals are…

Q: Z = -3i  find polar form (in radians)

A: To convert a complex number from rectangular form to polar form, we use the following formulas:…

Q: Convert the Complex No. X = 20 /36.87° into a. Rectangular form b. Trigonometric form ç. Exponential…

A:

Q: Please show complete solutioj. Final answer must contain 3 decimals only. Last 30 minutes left Thank…

A:

Q: Find tu oser ad sinusoidal for m of the expressión V 4) = 10 sin (300ot +100) - 5 sin (300ot -75) +…

A:

Q: ri = 3ag – 2ay + az r2 = 2a – 4ay- - 3a, r3 = -ax + 2ay + 2az Find Given the magnitudes of: Match…

A:

Q: The electric field is E = âg + ây + 3âz and ɛ = 4 on the side containing the point of origin from…

A: The normal vector of the electric field is determined as:…

Q: CONVERT THE GIVEN COMPLEX NUMBERS: 1. A = 6+ 7i POLAR FORM 2. B = 5230 → RECTANGULAR FORM 3. C = 15…

A:

Q: Do the operation and express the resulting value in rectangular form and in polar form. ( Round-off…

A:

Q: d Find y=9+15X -6? the area of the region between the curre and the 2i-aRis

A: Given that:The curve is y=9+15x-6x2

Q: Z-tran from 47² Z²0-25 Invert 1. Give xcn = find xcn)

A: Given:we need to find inverse z-transform x[n].

Q: CHANGE TO POLAR FORM: 3B097=122, 5 17,32 +j 10 50 -J E6.6 9.06+J4.226 16.82+] 62,785 59.088+j 10,42…

A:

Q: Find 1 and 12 in the given circuit. Please report your answer so the magnitude is positive and all…

A: The current through both sides of the circuit needs to be calculated. The impact on the primary due…

Q: 12. The polar form for the expression "ja" is O 1.73 at an angle of 210 degrees 1 at an angle of 120…

A: In the question the polar form for the expression "ja" is asked.

Q: the angular frequency w- 100 rad/s, what are the capacitance and the resistance of the element shown…

A:

Q: Answer this question in Rectangular and Polar forms

A:

Q: Q2: Express each of the following functions in phase angle form and sketch the fre quency spectrum…

A: From the Fourier Series Analysis...

Q: 14. Calculate these complex numbers and express your results in rectangular and polar forms. 60/45°…

A:

Q: L UL LET iL = 85mA sin(1650t+160 ) %3D and L = 5 mH then Calculate the voltage across the inductor…

A:

Q: find Zr using kr = Kr=0.4 / 45° Zo= 50 Zr-Zo Zr + Zo

A: Given  Kr = 0.4∠450 Z0 = 50Ω Kr = Zr - Z0Zr + Z0 Find Zr

Q: Simplify and represent the following complex number in the polar coordinates. Z= 1+j 2-j

A: Given data, Function is given as, z=1+j2-j

Q: x(t) = e-3tu(t)

A:

Q: Simplify and represent the following complex number in the polar coordinates. Z= 1+j 72 2-j

A:

Q: r energy of the Signal Cos(2n lo0ot en The time is between Zere and TE mD The foterier tramsformof 2…

A:

Q: If a=1- j, b=2e*, c=3+ j5, and d =3Z60°, determine -b' cxd and express your result in rectangular…

A:

Gradient of a Scalar Field

Consider a room or a place where the temperature is denoted by a scalar field T, such that at each point (x, y, z), the temperature is given as T(x, y, z). It is independent of time, in which the temperature rises most quickly. The gradient of T will show the direction at that point by moving away from (x, y, z). How far will the rise in temperature in that direction be determined by the gradient magnitude? Consider a surface that has a height above sea level at point (x, y) which is given by H(x, y). At that point, pointing in the direction of the steepest slope or grade is the gradient of H. The magnitude of the gradient of the vector gives the steepness of the slope at that point. How a scalar field changes in another direction can be measured by the gradient by taking a dot product rather than just the direction of the greatest change?