Use Stokes theorem to find the circulation . V dr of the vector field V = yi + x*j – 5zyk around the boundary C of the right cylindrical surface of radius r = 1 and height h = 2, which base lies on the (x, y) plane, as shown in the figure. h=2 C
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A: The given values are,
Q: electric flux
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A: This problem can be solved using Gauss's divergence theorem.
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A: The electric flux via the cube’s sides can be represented as, Here, E and A represent the electric…
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Q: An electric field of 5.4 N/C passes through an area of 3.4 cm2. Calculate the flux in units of 10^-4…
A: Given data: Electric field (E) = 5.4 N/C Area (A) = 3.4 cm2 = 3.4×10-4 m2 Angle between electric…
Q: three small spheres shown in (Figure 1) carry rges q₁ = 3.75 nC, q2 = -8.00 nC, and = 2.25 nC. re S3…
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Q: QL A point charge is placed at each cormer of a square with side length a Find net electric. force…
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Q: 1. Find the flux of the vector field F(x, y, z) = (x, 2z, 3y) outward across the surface of the…
A: Given Data: Vector field F(x,y,z) = x,2z,3y.Vertices = (0,0,0), (1,0,0), (0,2,0), (0,0,3). To…
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Q: Find the flux through the top, left, and right sides of a cube of volume 27 m3 when placed in a…
A: Given, The volume of cube = 27 m3 Electric field = 2.25 N/C
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Q: A closed surface with dimensions a=b=0.40 m and c=0.60 m is located as in the figure below. The left…
A: A closed surface with dimensionsa=b=0.40 m and c=0.60 m is locatedas in the figure given. The left…
Q: Charges q1 and q2 are placed on the y-axis at y = 0 and y = 26.1 m, respectively. If q1 = -50 pC and…
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Q: (Figure 1) shows cross sections of five closed surfaces S1, S2, and so on. Assume that q1 = 6.0 μC,…
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Q: Four closed surfaces, S, through S, together with the charges -2Q, Q, and -Q are sketched in the the…
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Q: (a). Give the physical significance of Divergence and Curl with required example. (b). Find the Curl…
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Q: A rectangular surface of sides 10 cm and 15 cm is placed inside a uniform electric field of 25 V/m,…
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Q: Given vec(F) = (:0, 0,x:), Radius 5 a. Calculate the outward(upward) flux across the upper half of…
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Q: It was shown in Example 21.11 (Section 21.5) in the textbook that the electric field due to an…
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Q: A closed surface with dimensions a=b%=D0.40 m and c=0.60 m is located as in the figure below. The…
A: The electric flux is given by the product of surface area and the component of electric field…
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Q: Calculate the electric filed on q for the given system below, If Q=D µC, q = D/2 µC, and L=D cm (1…
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Q: Find the flux through the top, left, and rights sides of a cube of side 0. 3 m when placed in a…
A: Given data: Length of side of cube is, a=0.3 m. Magnitude of electric field is, E=8.0 N/C…
Q: Flux on a tetrahedron Find the upward flux of the field F = (x, y, z) across the plane - ++ = 1 in…
A: The flux through be calculated as, Here, dS is defined as the elemental area of the base region.
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