ne flux of the vector field F = 2x²y i +3³z2 j + 2z k through the circle of radius o the plane z = 2 and has a center at (1, 4, 2) oriented upward.
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Q: iven the vector field A = x(^2)z i - 2y(^3)z^2 j + xy(^2)z k
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Q: Express the vector field W = (x² – y²)a, + xza, in the (a) Cylinderical coordinate at P(p = 6, q =…
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Q: Q# 01: Calculate Curl and divergence of given vector field F = (3x + 2z²)î + ;- (z – 7x)k
A: The components of the given field are Now the divergence of the field is given by This is the…
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A: Stokes's theorem states that: The line integral of a vector field over a loop is equal to the flux…
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Q: Two conductors with concentric radii r1=12 m and r2=25 m are placed in such a way that their center…
A: Given, r1=12mr2=25mQ1=7.8μCQ2=3.1μC According to Gauss Law, Qenc=ε∮E→.ds→ S is closed surface and…
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Q: 04: Water flows from a large close tank, through pipe length 15m, diameter (30mm) and exits with…
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Q: (b) Calculate Curl and divergence of given vector field x³y2 F = (3x + 2z?)î + ;- (z – 7x)k -j – (z…
A: F→=3x+2z2i^+x3y2zj^-z-7xk^ Curl:∇×F→∇×F→=i^j^k^∂∂x∂∂y∂∂z3x+2z2x3y2z-z+7x…
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A: Disclaimer- As your given image contains multiple questions, following the guide-lines we will only…
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Q: 7. a) Find the divergence of the vector field G(x, y, z)= exi+ln(xy) j+exyz k at (0.2, -31 b) Find…
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Q: Q6/ A vector field is given by F = sin y i + x(1+ cosy)j, evaluate a line integral over a circular…
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Q: Which of the following integrals will give the correct value of the total flux passing through the…
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Q: A vector field is pointed along the z-axis, v → = α /x2 + y2 z ^ . (a) Find the flux of the vector…
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