Use Stokes's Theorem To Evaluate the following line integral over the Curve defined by the Circle sketch below fv-2) dx + (x)dy + (x+2) dz Z=1, x2 + y 2 = 9 ZA S 1 3. 3

Q: Given the vectors A = -5ax + 3ay -8az and B = 8ax + 6ay - 2az. Find the (a) magnitude of 2ax + A -…

A: Let vector is of the form A ax +B ay +C az Then magnitude of the vector is √(A2+B2+C2)). Given point…

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

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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: If vector A = 25 + j10 and vector B = 30 – j12, then in rectangular form and in polar form A/B find.

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Q: The divergence of the vector of 2x?yi – 2yz?j+ 5xzk at a point (2, 1, 0) is

A: Given: F=2x2yi¯-2yz2j+5xzk

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A: Given: Function fx,y,z=4e2x-y+z

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

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Q: Solve for y(1.5) using Euler's Method or Runge-Kutta given the equation

A: It is given that: Y=-2XY1+X2Y0=1H=0.25

Q: Q3. Given H = (3r/sin0) ag+54 r cose a, A/m in free space. Evaluate the both sides of Stokes'…

A: In the given question, We have to evaluate both sides of the Stokes Theorem through the given…

Q: a) In the Bilinear transformation method, the mapping from the s-plane iIs given 2z-1 by s== Tz+1…

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Q: QUESTION 1 True or false? The root locus is symmetric about the real axis. O True O False QUESTION 2…

A: Question 1: Answer: True Root locus is always symmetric about x-axis or real axis.

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: (d) Trausform to cylindrical coordinates: (1)F - 106, - Bà, + 68, nt poínt P(10, -8,6) and (ü)G =…

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Q: b) Give the Cartesian components of the vector H = 20ap 10a + 3az at P(x = 5, y = 2, z = − 1).

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Q: Transform to cylindrical coordinates: F = 10ay - 8a, + 6a, at point P(10, -8, 6) %3D Select the…

A: The solution is given below

Q: The integral of vector A= 0.25p cos(q)ap +2zaz Over the top of cylinder specified by 1<Z<2,p = 2…

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Q: causal, can the inverse system H;(z), where H(z)H;(z) = 1, be both BIBO stable and causal? Clearly…

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Q: The equation of plane passes through the point (-1,4,2) and containing the line x=t ,y=3t-2, z=2t-1…

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Q: 2- Evaluate both sides of Stokes's theorem over a closed contour C as shown in figure below. Let…

A: The Contour can be divided into 4 paths, F=y ax+z ay- x azdr=dx ax^ +dy ay^+dz az^z=0dz=0 Stoke's…

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

A: We need to prove divergence Theorm for given function .

Q: Using Northon's Theorem, solve for Vo if R = 1, Vs = 2, and Is = 1.

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Q: sin (z) C- Choose the suitable theorem to find the result of 976-z7 integration path C. where C any…

A: The solution is given below

Q: The average value of the Poynting vector depicts the: Select one: O amount of energy density…

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Q: 6x yax D7.6. Evaluate both sides of Stokes' theorem for the field H = 3y²a, A/m and the rectangular…

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Q: Evaluate both sides of stokes theorem for The field H=6xyax-3y³ay Alm and the rectangular Path…

A: Solution

Q: aluate the shown. vector fiel a) y)ax xuy t 20, along A(0, 1, 2) B(1,0,2) # straight line-path

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

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Q: — (ху)а, + (2xy)a, + (3zx)a, using the triangular shaded area of the Test stokes' theorem for the…

A: By stokes theroem line integraton of vector over the carve is same as the surface integral of carl…

Q: In constant M and N circles, if the value of M becomes unity, Which of the following will be correct…

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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…

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Q: Planes z = 0 and z = 4 carry current K = -108 A/m and K = 10f A/m, respectively. Determine H at (a)…

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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: In Nyquist stability criterion, if 's' contour is closed then, the F(s) contour is also closed one.…

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Q: Problem 1. Using Stokes Theorem [ッズ) 13, (ロメズ) Derive the integral form of Faradays Law and Ampere's…

A: Please find the detailed solution in below images

Q: Convert to integral form. Use either Gauss or Stokes theorem V × F = x

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Q: The integral of vector A= 0.25p cos(@)ap +2zaz Over the bottom of cylinder specified by 1s Z < 2, p…

A: We will do integration of given vector in cylinderical coordinate system.

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

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Q: b) Evaluate both sides of Stokes's theorem for the vector field B =r cos o f + sin o 6 by evaluating…

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Q: Use Routh-Hurwitz method, how many roots are on the left-half plane by the polynomial equation  3 0…

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Q: Given scalar field T(r,0,p.) = rsin(e)cos(p). If F = gradT. Determine F0 at P(2 , 1.3 rad, 0.5 rad)

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Q: Evaluate both sides of the divergence theorem for the field; A = xy²a, + y°ay + y²za, , in the…

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Q: If A=20260° and B=5430°, detemmine the quotient A/B in both polar and rectangular forms.

A: In this question,  If A= 20∠60 and B= 5∠30  Find the A/B?  In polar form r∠θ Rectangular form a+jb…

Q: To write the contours of the surface at X,y,z we write the code : * cont('x,y,z') O title('contour)…

A: We write the code

Q: Use Nyquist criterion to find the number of zeroes of p(z) = z3 + 2z2 + 4 in the right half plane…

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Q: The integral of vector A= 0.25p cos(@)ap +2zaz Over the bottom of cylinder specified by 1sZ<2, p= 2…

A: Here I have solved it.

Q: Find the vector component of F = 10a, - 6a, + 5a, that is parallel to G = 0.1a, +0.2a, + 0.3az…

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

A: We need to find out the both side of divergence Theorm.