Page: 112 34. By using Stokes' Theorem, evaluate curl F-dS for the field vector E =(x-y)i+(y-z)j+(z-x)k where surface S is sphere x +y +z? =9 bounded by x = 0 and z 0 with positive orientation. Answer: 97
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![Page: 112
34. Вy
Theorem,
evaluate curl E ds for
field
using
Stokes'
the
vector
F=(x-y)i+(y-z)j+(z-x)k where surface S is sphere x2 +y2 +z? =9 bounded by
x =0 and z=0 with positive orientation.
Answer: 97](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4edd8ac1-b26d-4e68-9a56-821fd3f7c787%2Fa19e0134-2d91-49e9-956f-78ed904e1d9e%2Fqhzuh2k_processed.jpeg&w=3840&q=75)
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- The figure below shows a closed cylinder with cross-sectional area A = 3.20 m². The constant electric field E has magnitude 1.85 x 10 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines pass through the curved surface. Calculate the electric flux (in (Nm²/C) through the cylinder's top and bottom surfaces. WINTE (a) top surface (b) bottom surface N-m² N-m² (c) Determine the amount of charge (in C) inside the cylinder.Given vec(F) = (:0, 0,x:), Radius outward(upward) flux across the upper half of the sphere. b. How will this value change if we calculate the outward(downward) flux across the lower half of the sphere? = 5 a. Calculate theElectric charges, Q1 = 0 C, Q2 = 4 C, and Q3 = -5 C, are shown in the figure, as well as 5 surfaces, S1 through S5. Part (A) Write an expression for the electric flux Φ1 through S1. Part (B) Write an expression for the electric flux Φ2 through S2. Part (C) Write an expression for the electric flux Φ3 through S3. Part (D) Determine the electric flux Φ4 through S4. Part (E) Write an expression for the electric flux Φ5 through S5.
- Calc 3 - Stokes parts a and bThe electric flux will be a function of r (when r < B): E = kr². What is the value of constant k, given Q = 17.7 PC and B = 9.00 cm? k= .0775 N с XQuestion 1 Four stationary electric charges produce an electric field in space. The electric field depends on the magnitude of the test charge used to trace the field O has different magnitudes but same direction everywhere in space is constant everywhere in space has different magnitude and different directions everywhere in space CANAD
- Consider a triangle in the presence of a uniform electric field given by 5.6 i N/C. The endpoints of the triangle are: (0 m, 0 m, O m), (7 m, O m, 4 m), and (2 m, 3 m, O m). Determine the absolute value of the electric flux through the triangle. Give your answer in units of N-m?An infinitely long cylinder of radius R = 57 cm carries a uniform charge density ρ = 21 μC/m 3. Calculate the electric field (in N/C) at distance r = 19 cm from the axis of the cylinder.Calculate the flux of F = zi + yj + xk through the hemisphere x^2 + y^2 + z^2 = 16where x ≤ 0. The flux is oriented along the direction of the positive x-axis.
- A flat surface of area 6.5 cm2 in the x -y plane sits in a uniform electric field E ⃗=2i ̂+3j ̂+5k ̂ . Find the electric flux (in N.m2/C) through the square?A uniform electric field of magnitude 5.5 x 104 N/C passes through the plane of a square sheet with sides 9.0 m long. Calculate the flux (in Nm²/C) through the sheet if the plane of the sheet is at an angle of 30° to the field. Find the flux for both directions of the unit normal to the sheet. unit normal with component parallel to electric field Nm²/C unit normal with component antiparallel to electric field Nm²/c Additional MaterialsFlux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux Φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Φs = 5.0 × 105 N·m2/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B?