(z-2i) (z-3) Given f (z) = z² (z+5)3 (z- 2i)4 Which of the following is correct ? Oz= 2i is a pole of order 4 Oz=5 is a pole of order 3 ON30 is a pole of order3 z = 2i is a pole of order 3

Q: In cylindrical coordinates, let pe =0 forp 1.5 mm. Find D %3D evervwhere

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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: Quèstion 30 The vector fields are defined as A= ap +2ag +3az, B В - 0 4aap +0.4Bao 6az, both vectors…

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Q: D1.7. Give the points, C(-3,2,1) and D(r 5,0 = 20°,Ø = -70°), find: (a) the spherical coordinates of…

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

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

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A: Solve for surface direcrion

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A: As per the guidelines I have to do a maximum of 3 subparts only so I request you to submit the…

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Q: Find the magnitude |D| and angle θ of a vector that has an X component of DX = 8 meters and a Y…

A: DX=8 mDy=25mD=Dxi⏜+Dyj⏜

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Q: Ex:- a- find the general from of the equation for the stream lines of the field E = 10 xy āx +5x2ay…

A: GivenE¯=10xya¯x+5x2a¯y

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A: As per our company guidelines we are supposed to answer only first 3 subpart kindly repost other…

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A: ELECTRIC FIELD: Region around charged particle into which when another charge is brought in it…

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A: By nyquist criterion no .of encirclements  = P- Z in anti clock wise direction  Where P is no . of…

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: The point (1,1,0) can be transformed to spherical as Select one: a. 플이 b. 4 C. TT 4' 2 d.

A: we will use following cartesian to spherical conversion formula…

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A: We need to find potential due to given electric field .

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

A: None of the options is correct    EXPLANATIONEquation of two lines intersecting planes is given by…

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

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A: Given field, A=3x2yzax+x3zay+(x3y-2z)az

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Q: Q1: if AB = i+ 4j – 2k and B is the point (5,1,3), find point A. H.W: if Z = 3+ 4i , Z2 = 2 – 2i Z3…

A: To find the coordinates of point A

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A: We have two planes that carry current and we have to find H at the given points. (a) At z=0 we have…

Q: Problem 15 How far from the y-axis is the centroid of the area bounded by the curve y = x', the line…

A: Given curve y=x3                  x=2According to question, we have to calculate the x-cordinates of…

Q: V154 D1.3. The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4), and C(-3,1,5).…

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Q: What is the vector originating at the origin at -2 given the system below with s = -10 + 8j? (s +…

A: The vector originating at the origin at-2 with the system having…

Q: 0.7 PROBLEMS 0.7.1 BASIC PROBLEMS 0.1 Let z 8+ j3 and v=9- j2. (a) Find (i) Re(z) +Im(v), (ii) |z+…

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Q: for a plane lies at z=0 the Select one: a. ds = dxdya, O b. ds = dxdya x C. ds = dxdzay O d.

A: Option : a is correct

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

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Q: Find Z,Z2. Z1/ Z2, Z¡ + Z2, Z, - Z2 and write your answers in both polar and rectangular format…

A: The values of the impedances is given as: Z1=10+j5Z2=20-j20 The calculations of the above…

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A: Cartesian and polar forms play an important role in Electrical engineering. especially in AC…

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: D1.3. The three vertices of a triangle are located at A(6, –1,2), B(-2,3, -4), and C(-3, 1, 5).…

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Q: Given the two vectors rĄ = –ax – 3a, – 4az and rg = 2ax + 2a, + 2az, and point C(1,3,4), find: a.…

A: The solution is given below

Q: D7.6. Evaluate both sides of Stokes' theorem for the field H = 6xya, - 3y-a, A/m and the rectangular…

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Q: 5. Find the line that passes through the point p(1,2) and the point of intersection of two lines x…

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Q: نقطتان )2( * Choose the correct answer If H 4a, - 3a, + 5a, at (1, x/2, 0) the component of H…

A: As we have given: H=4aρ-3aϕ+5azρ,ϕ,z=1,π2,0

Q: 28. Find the magnitude of a curl of the vector at point (1, 1, −0.2); F = 30 ax + 2xy ay + 5xz² az…

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Q: Given vector R = 5 ax + 4 ay + 6 az at point P(1.4, 1, 6.9). Determine Rρ. (Round your answers to 4…

A: According to question we have to find the value of Rp.

Q: Given: A(8,2,1) and B(-1,-3,2). Determine | 2rA – 3rg|. Note: r means a position vector. O a. 23.37…

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Q: du/dz at dy 8. If u = x* + yy + z² , find dudx = y = z = 1.

A: Given: u=xx+yy+Zz

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…

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Q: А. — 0.808ах — 1.077аy + 0.269a, В. — 0.608а,— 2.077а, + 0.269a, С. - 0.808а, — 1.077а, + 0.369a, D.…

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Q: If the vector R = 17.41 ap+ 16.83 a +5.13 az at (3.24, 357.37 degrees, 2.80) in cylindrical…

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Q: 2. If A = 2x²,-3yz, xz² and p = 2z - x³y. Evaluate A. Vo and Ax Vo at the point (1, -1, 1).

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Q: the shown figure, the length of the side of the square is 2a , if q,=Q is placed at point "1", the E…

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

A: The solution can be achieved as follows.

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?