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 harmonic function is given as x(t) = –2 sin(10t) – 4cos(10t). Express it in FORM5 as x(t) =…

A:

Q: Find the current I, in the circuit shown. I. 50 2 100 2 ww 60/0° V j80 Q -j40 Note: The current I,…

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: A band limited noise of (0.5 v^2) power is added to sinusoidal signal with SNR (10 dB), the power of…

A:

Q: A porticle moves in an attractive central potential 2 vl) = of Use the variational principle to plnd…

A: It is given that: vr=-g2r32

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: Given V, = 20 sin(@t + 60°) and V, 60 cos(wt – 10°). What is the phase angle %3D %3D between the…

A: Given Data: V1 = 20 sin (wt + 60) V2 = 60 cos( wt-10)

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

A:

Q: EX3. for the circutshown below Calauate Zi, Ziz, Zo1, Z0z, Avqi Ay 3D10 hie1= 2k hfe=100 Ri holk k…

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: Phasor A: magnitude 10, angle 45° Phasor B: magnitude 10, angle -45°

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: amplibier to amplieg ల \oomv to 5V with all detail. an

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: Group B Q1: Assume that V is a function of z and at z =2, V = 10 volt and at z = 4, V = 20 volt. a)…

A: We need to find out electric field and potential .

Q: Determine the closed loop poles for a 2nd order underdamped system knowing its peak time and its…

A: Given Peak time tp=5sβ=54o

Q: Answer this question in Rectangular and Polar forms

A:

Q: determine which waveform in each of the following pairs is lagging ( only d and e)   d.) -sin 5t,…

A: To solve above problem one should know about the concept of leading or lagging. Leading quantity If…

Q: What will be the impedance of an inductor of inductance 15.5 mH when it's connected to an ac source…

A: The impedance of an inductor of inductance L can be expressed as

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

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: Given that Zo = 50 N, Z̟ = 10 Q and Zs = -j100 in the figure below, determine di and l1 such that…

A: Given data, Z0=50 ΩZL=10 ΩZs=-j100 Ω

Q: What is the Cartesian representation of z = 3502-150°? O a. z = -303.11 -j175 O b. z=-175+j303.11 O…

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?