For the closed path L defined as the perimeter of the surface =-4, 0

Q: A uniform electric field of magnitude E = 38 N/C points along the x-axis. A circular loop of radius…

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Q: 6) The normal surface vector to a flat piece of paper, with area A = 0.250 m², makes an angle of 60°…

A: 6. The expression for the electric flux is,

Q: for the Electric Fields of Distributed Charge An evenly charged wire of length L has a total charge…

A: Here, A rod of length L is given, having a charge Q on it. The rod is located a distance a away from…

Q: What are the fluxes in ascending order through the Gaussian surfaces shown O A) I= || <|II < Iv O B)…

A: According to Gauss's law, the flux (Φ) of the electric field through any closed surface is given as…

Q: as gh ed 8. A cone with base radius R and height h is located on horizontal table. A horizontal…

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Q: A. Use the illustration below and calculator to fill the data below. = 90 E e () e (rad) O (# lines…

A: (θ) ° (θ) rad ΦE   0 0 EA   60 π/3 EA/2   90 π/2 0

Q: Find the k-component of (curl F) for the following vector field on the plane. F = (xe)i + (8y ex)j…

A: The vector field on the plane is given as F=xeyi^+8yexj^

Q: Four small spheres shown in the figure below have charges of q₁ = -3.00 nC, q2 = 2.40 nC, q3= 5.30…

A: Given: Charges q1=-3 nC, q2=2.40 nC, q3=5.30 nC, q4=-1.80 nC Required: Net electric flux through…

Q: z4 k across the surface S the upper hemisphere of x 2 + y 2 +z2 = 9 in the outward direction Find…

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Q: Express the vector field W=(x^2-y^2)i +xzk in spherical coordinates at P(4,30degrees,120degrees).

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Q: Question 7 This question concerns the vector field F = -ry'i- r'yj+ 2(x² + y³) k. (a) Calculate the…

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Q: A vector field is given as W = 4x2y ax - (7x + 2y) ay + (4xy + 2x2) az. If the field is at point…

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Q: Q5. a) Find the gradient of the scalar field W = 10rsin²0cosØ . Explain the physical manner of the…

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Q: Verify if the following vector fields are conservative: a) A₁ (+-) 1 = b) ₂ = (xy, yz, zx) c) A3 =…

A: We have given three vector fields , we need to see whether they are conservative or not. If…

Q: What is the electric flux for the following set of variables? E = 8.0 x 1013 N/C A = 4.1 x 10-4 m2 e…

A: Given: The electric field is 8x1013 N/C. The cross-section area is 4.1x10-3 m2. The angle is 60o.

Q: 1. Consider a vector field Á = xy²zâ + xyz²ŷ + x"yzî and a cylinder with height h and circular sides…

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Q: An electron is initially moving to the right when it enters a uniform electric field directed…

A: Electric force F =qE .q represents magnitude of charge .E represents magnitude of electric field. An…

Q: Evaluate both sides of the Divergence Theorem of the given vector field D = ye" ax + z(xy)? ay + (x…

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Q: Čalculate the electric flux for each of the following sets of variables. E = 7.6 x 10'3 N/C E = 8.2…

A: (a) Find the electric flux. ϕE=EAcosθ=7.6×1013 N/C4.4×10-6 m2cos0°=3.34×108 N·m2/C (b) Find the…

Q: The divergence of a vector field F(x,y, z) = xy'i+ 2r?yzj - 3yz²k at the point (1,-1,1) is 9. -3 3.…

A: F(x,y,z) = xy2i^ + 2x2yzj^ - 3yz2k^Point (P) = (1,-1,1)

Q: Sz S1 | Three small spheres shown in the figure below have charges of I 91 = 5.00 nC, q2 = -3.50 nC,…

A: As per guidelines, I can solve one question. If you want solution for other one, please post it as…

Q: Evaluate both sides of the Divergence Theorem of the given vector field D = ye* ax + z(xy)? ay + (x…

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Q: Given the vector field v = (xy²)t + Gy³z²)j – (x³yz)k determine if it is converging, diverging or…

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Q: Compute for the magnitude of the line integral over a square path centered on p(0,0) with a side…

A: Line integral over a squared path centered on p(0.0) for a field B→ is given by…

Q: Which of the lines in the figure represents the normal to the surface at point P? a. 1 b. 2 c.…

A: Normal to any point on the curve:

Q: The vector field D* = e*r (cos2q) r3 is defined within the spherical shell whose inner and outer…

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Q: This question explores the difference between the integral • î dA over a closed Gaussian surface and…

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Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E = 8.86 x…

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Q: Please find magnitude and direction of electric on +5nc and find f1 and f2 show me all step by step…

A: According to question we need to find F1 , F2 and the magnitude and direction of the net force…

Q: ... X Y Vo Horizontal Field As compared to the horizontal component of the velocity at point Y, the…

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Q: A charge q = 4.2 µC is located at the origin of the coordinates. What is the electric field E = E,i…

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Q: ZA a y a A vector field È is given by E = 4y3Î+2xR. Calculate the flux through surface S shown…

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Q: Q4: Electric Flux An electric field given by E = 4.0 i – 3.0 (y² + 2.0) j+0 k N/C pierces a Gaussian…

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Q: Which of the following force fields, given belowin spherical polar coordinates, is not a…

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Q: What is the direction of the E-field vector at the center of the square? The E-field is O at the…

A: The electric field sue to positive charge is directed away from the charge, and the electric field…

Q: A spherical.cavity is made inside a sphere of density, d. If its centre lies at a distance l, from…

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Q: b. 60 An object having the shape of a rectangular prism is placed in a uniform electric field with…

A: Option a) is correct

Q: Vo Horizontal Field As compared to the horizontal component of the velocity at point Y, the…

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Q: Please answer and write correctly and neatly. A certain vector field is given as G = (y + 1)ax +…

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Q: Consider the following situation. A positive charge q is located a distance R from a charged wire…

A: Given:- A positive charge q is located at a distance R from a charged wire bent into a circular arc…

Q: Use the appropriate expression for the differential surface area ds to determine the area of each of…

A: Given A = 5x^+5y^-6z^ B = 4x^-4y^ C = 5y^-4z^   ∫[A.(B×C)n^.ds

Q: Application of Stokes Theorem 3. Evaluate both sides of Stokes' theorem for the field H=6xyax -…

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Q: %3D From the figure below, what is the electric flux on surface a if q = 8.854 x 10-12 C. (E0 =…

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Q: 91 R Ring 1 Ring 2 P ←R→ d R 92

A: Solution:Field of a ring at axial point is given as:E→ = kQxx2+R232Now the field at point P due to…

Q: the electric field is not collinear with the normal unit vector of the surface, which of the…

A: Gauss Law states that the total electric flux: ϕ =∫E.→dA→=E.→A →=EAcosθ                here…

Q: At what angle do electric lines of force enter and leave a charged surface for maximum electric…

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