(z – 2i) (z – 3) Given f (z) = z? (z+5)3 (z-21) 4 Which of the following is correct ? oz =0 is a pole of order 3 oz = 2i is a pole of order 3 Oz = 2i is a pole of order 4 O z = 5 is a pole of order 3

Q: D3.9. Given the field D = 6p sin ø a,+1.5p cos o as C/m2, evaluate both sides of the divergence…

A:

Q: Considering the given vectors D = yzax + czay + ryaz and E = 5xyax + 6xay + 8zaz Calculate C = D+E…

A:

Q: An AM radio signal propagating in free space has E - E, sin(1200t - B2)a, H sin(1200rt – B2)a,…

A:

Q: A perfecty cenducting plane in locatl in free space at X=4 and aunitorm infiaite bire chapge ef 40…

A: Please refer the attached images for the complete answer..

Q: Evaluate both sides of the divergence theorem for the field D = 2xy ax+ X2a,C/m² and the rectangular…

A: The Gauss divergence theorem is a relation between the surface integration and volume integration.…

Q: Question 1 A XYZ ampere flows along a lamp post in the z direction at a location (0 m, Om) . A 400…

A: According to Ampere's circuital law, the magnetic field density B→ due to an infinitely long current…

Q: Find IL, SWR, Z, given Z1 = 230 +j 120 2 with Z, = 100 2, 1= 0.25 A

A:

Q: Determine A(z), ROC. What is the relationship between p and q to produce a valid ROC? p", 1, g", n >…

A:

Q: * 3) Verity Gauss Divergence theorem for F = G? y3) + -za)} +(-x) k taken over a rectangular…

A:

Q: Determine X(z) if x[n]={ 3, 2, -1, 1/2, -1/4, 1/8, -1/16, 1/32, ...}.

A:

Q: Determine an expression for a_y in spherical coordinates at P(r=4,8=D0.2n rad,0=0.8t rad).

A: In this question,  We need to determine the expression of the ay component if spherical expression…

Q: Express the following points in Cartesian Coordinates: Match each item to a choice: (3, 45°, 210°)…

A: The solution is given below

Q: If vectors A = 4ag + 6a, - az and B = 3a, - 4a, + 2az. Find: The magnitude of A – B; The magnitude…

A:

Q: Medium characterized by, o=0,µr%3D2 and e=5eo If H=2 cos(wt-3y) az A/m . then, E is…

A:

Q: The vector filed F = 10ax can be expressed in spherical coordinates at the point (x= 3, y = 2, z =-…

A: " This is a good question based on simple electromagnetic theoryAnd the chapter is basic…

Q: 3.1-1 The real electric field components at a point in a radiating aperture are Eax = 100 cos(mt)…

A:

Q: (s)=s4+2s3+3s2+20s+5. Find: Number of poles in the left-half plane? Number of poles in the…

A:

Q: Q2. Transfer vector D = ya, + za, to the (a) or (b) a. Cylindrical coordinate at P(p= 2, p = 60°, z…

A:

Q: Transfer the point P (6.32, 108.43°, 3) into spherical coordinate a) (5, 65.62°, 106.43°) b)…

A: Given, Point, P=(6.32,108.43,3) to convert into spherical coordinates.

Q: 1:Find and sketch the sets in the complex plane given by (1) z – 3|+| + 3=10 (2) |Arg(z)|< t/ 2

A: Answer :  (1) z-3+z+3=10It is known that standard equation of eclipse is z-a+z-b=cwhere,a,0 and b,0…

Q: 5.21 For an anisotropic medium D. Dy D E, E, 4 1 1 4 1 = E. 1 1 Obtain D for: (a) E 10a, + 10a, V/m,…

A: We should do matrix multiplication to solve these

Q: D3.9. Given the field D = 6p sin ø a, +1.5p cos o as C/m², evaluate both sides of the divergence…

A: According to the divergence theorem ∮ ∇ D dv  = ∮  D dρ

Q: Given A = RAx + ŷAy + 2, B = î + ŷ2 and C = - ŷ. If A is perpendicular to B and the angle between Å…

A: we need to find out Ax and Ay.

Q: Q(s)=s4+3s3+27s2+75s+50. Find: Number of poles in the left-half plane? Number of poles in the…

A: for find the poles on right half of the s plane construct the routh table and calculate no of sign…

Q: Qu/ Find He equation for the Plane Qul that Pass throgh the Point (3,-2,1) hor mal to the Veetor: n=…

A:

Q: Electromagnetics: - Give the rectangular coordinates of the point C (ρ = 4.4, φ = −115◦, z = 2).

A:

Q: HOME WORK: Given the field D = 6r sin ā, +r cos ā, C/m?, evaluate both sides of the divergence…

A:

Q: 4.) Verify the divergence theorem for A = 4xi – 2y²j + z?k taken over the region bounded by x2 + y?…

A: The divergence theorem can be verified by using the general triple integral function.

Q: Given z6 + 2 = 0. Then z=?

A:

Q: D3.9. Given the field D = 6p sin oa, +1.5p cos oa, C/m2, evaluate both sides of the divergence…

A:

Q: The unit vector 0.4ax - 0.6ay  is directed from region 2 (    Er = 2.5, µr = 2, σ2 = 0) toward…

A: "According to the company's policy we will solve first three parts of the question". The unit vector…

Q: HOME WORK (2): Given the vector current density J = 10 r²z ā, – 4 r cos²p āp mA/m²: %3D - (b)…

A:

Q: The voltage wave propagating on a transmission line is given in real space-time form as v(z, 1) =…

A:

Q: Four isotropic sources are placed along the z-axis as shown. From spacing the z-axis d of the linear…

A:

Q: Which of the following method is a graphical method for obtaining roots of the characteristic…

A: Polar Plot: -It is a plot of magnitude and phase of G(s)H(s) in polar coordinates while frequency is…

Q: Q3) Evaluate both sides of divergence theorem if D-3pZ² ap+3Z a and a cylinder: p=2m, (0≤Z≤5) m.…

A: The divergence operator is used by the Gauss divergence theorem to transform surface to volume…

Q: D = 2x? āx + 22āz c/m?. Evaluate both sides of the divergence theorem for the rectangular…

A: By divergence theorem  surface integration of vector field over the given surface is same as the…

Q: 4) For the circuit shown in Fig. (4), sketch on the same graph the signals at the sending end and at…

A: Given the transmission line as shown below: We need to sketch on the same graph the signals at the…

Q: Q2. Transfer vector C = xa, + ya, to the (a) or (b) a Cylindrical coordinate at Pp= 2. e= 30, z=-1)…

A:

Q: Compute divergence theorem for D= 5r^2/4 a x in spherical coordinates between r = 1 and r = 2. %3D

A: According to question we ha e to compute the divergence theorem for given value.

Q: is the directional derivative of the function f(x, y) – 2xy- 3y? at point p,- (5,5) in the ion of u…

A:

Q: O/ Put (V) against the right sentences and (X) against wrong sentences then correct the errors.…

A: 1)correct  2)correct  3)wrong As per guidelines we are allowed to do only first 3 subparts. And…

Q: QI: For A = x āx + y āy + z āz and B = 3x āx + 4y ãy + 2z āz Find the following a) č = ĀxB b) at…

A:

Q: Q4: For the following values of ZL, find the values of reflection coefficient and VSWR. Given that…

A: We know that the reflection coefficient ρ and VSWR are defined as ρ=ZL-ZoZL+Zo,VSWR=1+ρ1-ρ.

Q: HiW Region I' is the side of the plane ytz=1 containing the origin Region I. ノM2=6 for given Be=…

A: The solution is given below

Q: Given G = 20a, + 50a, + 40a, at (1, π/2, π/6) the component of G perpendicular to surface = π/2 is…

A: Types of coordinates system  Cartesian coordinate system  Cylindrical coordinates system  Spherical…

Q: Find IR1, IR2, IR3, IR4, IR5 using Maxwell Mesh method

A: The solution can be achieved as follows.

Q: The voltage wave propagating on a transmission line is given in real space-time form as v(z, t) =…

A: Phasor:  A phasor is a physical quantity which has magnitude with some phase angle.  A phasor can be…

Q: The plane wave E = 50 sin (st- 5x) a, V/m in a lossless medium (u = 4u E = E.) encounters a lossy…

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?